293

<body topmargin=0 leftmargin=0 marginheight=0 marginwidth=0> <table cellpadding=0 cellspacing=0 border=0><tr> <td valign="top" colspan=3 height=24 BGCOLOR="#660000" TEXT="#F7F7FF"> <div> <FONT SIZE="4" COLOR="#FFFBF0" FACE="Georgia" ><B>M</B></FONT><FONT SIZE="4" COLOR="#FFFBF0" FACE="Georgia" ><B>atemáticas de la U (MatU)</B></FONT><B>  | </B><A HREF="http://www.jcbmat.com/" TARGET="_top" TITLE="http://www.jcbmat.com/"><U><B>Home</B></U></A><B> | </B><A HREF="index.htm" TARGET="_top" TITLE="Aritmética"><U><B>Aritmética</B></U></A><B> | </B><A HREF="id17.htm" TARGET="_top" TITLE="Contenido"><U><B>Contenido</B></U></A><B> | </B><A HREF="id25.htm" TARGET="_top" TITLE="Aritmética de Baldor"><U><B>Baldor</B></U></A><B> |</B></div> <div> </div> </td> </tr><tr> <td valign="top" width=165 BGCOLOR="#FFFFFF" TEXT="#080000"> <div>  <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:160px;height:600px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="3073775660"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <bR> </td> <td valign="top" height=456 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B>Ejercicio </B><B>293</B></div> <div> <B>Razones y proporciones</B></div> <div> <B>Razones</B></div> <bR> <div>  <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:728px;height:90px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="5388515922"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <div>  <A NAME="apuntes"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>Apuntes</div> <div> <B>Apuntes</B></div> <div>  <A NAME="razón_o_relación"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>Razón o relación</div> <div> <B>Razón o r</B><B>el</B><B>ación</B><FONT SIZE="4" COLOR="#CC0033" FACE="Bell MT" ><B> </B></FONT><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >de dos cantidades es el resultado de compararlas. Dos cantidades pueden compararse de dos maneras: Mostrando su diferencia indicada (</FONT>razón aritmética<FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >) o mostrando su cociente indicado (</FONT>razón geométrica<FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >).</FONT></div> <div> El numerdor (dividendo) de una razón geométrica se conoce como <FONT SIZE="4" COLOR="#0066CC" FACE="Bell MT" >antecedente</FONT> y el denominador (divisor) como <FONT SIZE="4" COLOR="#0066CC" FACE="Bell MT" >consecuente</FONT>.</div> <DIV ALIGN="LEFT"></DIV> <div> <FONT SIZE="4" COLOR="#000000" FACE="Bell MT" > </FONT> <A NAME="enunciados"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>Enunciados</div> <div> <B>Enunciados</B></div> <bR> <div> (<FONT SIZE="4" COLOR="#CC0033" FACE="Bell MT" ><B>E</B></FONT>n los ejercicios siguientes, cuando se diga simplemente razón o relación, se entenderá que la razón pedida es geométrica).</div> <div> <IMG SRC="1fce82d0.gif" border=0 width="744" height="45" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <A HREF="#1" TITLE="293"><U><IMG SRC="17918180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="1fd20170.gif" border=0 width="544" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <A HREF="#3" TITLE="293"><U><IMG SRC="17918180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="1fe152d0.gif" border=0 width="789" height="45" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <A HREF="#5" TITLE="293"><U><IMG SRC="17918180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="201f9170.gif" border=0 width="761" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <A HREF="#7" TITLE="293"><U><IMG SRC="17918180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="2039d170.gif" border=0 width="669" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> <A HREF="#8" TITLE="293"><U><IMG SRC="17918180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <B>Soluciones</B></div> <div>  <A NAME="1"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1</div> <div> <IMG SRC="1ed28bc0.gif" border=0 width="808" height="188" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="3"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>3</div> <div> <IMG SRC="1fbef790.gif" border=0 width="751" height="121" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="5"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>5</div> <div> <IMG SRC="1ff1feb0.gif" border=0 width="799" height="235" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="7"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>7</div> <div> <IMG SRC="20070c70.gif" border=0 width="880" height="199" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="8"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>8</div> <div> <IMG SRC="2046fc70.gif" border=0 width="879" height="199" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <B>Lista de los Ejercicios de la aritmética de Baldor</B></div> <div> |  <A HREF="id46.htm" TARGET="_top" TITLE="26"><U>26</U></A>, <A HREF="id47.htm" TARGET="_top" TITLE="28"><U>28</U></A>, <A HREF="id48.htm" TARGET="_top" TITLE="37"><U>37</U></A>,  <A HREF="id45.htm" TARGET="_top" TITLE="Ejercicio 41"><U>41</U></A>, <A HREF="id40.htm" TARGET="_top" TITLE="60"><U>60</U></A>, <A HREF="id28.htm" TARGET="_top" TITLE="69"><U>69</U></A>, <A HREF="id29.htm" TARGET="_top" TITLE="71"><U>71</U></A>, <A HREF="id42.htm" TARGET="_top" TITLE="146"><U>146</U></A>,  <A HREF="id41.htm" TARGET="_top" TITLE="147"><U>147</U></A>, <A HREF="id31.htm" TARGET="_top" TITLE="180"><U>180</U></A>, <A HREF="id27.htm" TARGET="_top" TITLE="185"><U>185</U></A>, <A HREF="id30.htm" TARGET="_top" TITLE="224"><U>224</U></A>, <A HREF="id49.htm" TARGET="_top" TITLE="293"><U>293</U></A>, <A HREF="id50.htm" TARGET="_top" TITLE="Ejercicio 294"><U>294</U></A>, <A HREF="id32.htm" TARGET="_top" TITLE="302"><U>302</U></A>, <A HREF="id33.htm" TARGET="_top" TITLE="305"><U>305</U></A>, <A HREF="id34.htm" TARGET="_top" TITLE="307"><U>307</U></A>, <A HREF="id35.htm" TARGET="_top" TITLE="309"><U>309</U></A>, <A HREF="id36.htm" TARGET="_top" TITLE="310"><U>310</U></A>, <A HREF="id37.htm" TARGET="_top" TITLE="317"><U>317</U></A>  |</div> <bR> <bR> <bR> 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