Determine if the ratios form a proportion. Also, write the middle… - Vidyadip

Question

Determine if the ratios form a proportion. Also, write the middle term and extreme term where the ratio form a proportion: $2\ kg : 80\ kg$ and $25g : 625g.$

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Answer

$2\ kg : 80\ kg$ $=\frac{2}{80}=\frac{2 \div 2}{80 \div 2}$[$\therefore$$H.C.F.(2, 80) = 2]$
$=\frac{1}{40}$ $= 1 : 40$
$25g : 625g$ $=\frac{25}{625}=\frac{25 \div 25}{625 \div 25}$[$\therefore$$H.C.F.(25, 625) = 25]$
$=\frac{1}{25}$ $= 1 : 25$
Since the two ratios are not equal, therefore, the given ratios are not in proportion.

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