State the following ratios are in proportion or not: $25 : 40 a n d 20 : 32$ .

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Solution

Step 1: Find the smallest form of the ratios
$25 : 40 = \frac{25}{40} = \frac{25 \div 5}{40 \div 5} = \frac{5}{8} = 5 : 8$
$20 : 32 = \frac{20}{32} = \frac{20 \div 4}{32 \div 4} = \frac{5}{8} = 5 : 8$
Step 2: Check the ratios are equal or not
Ratios $25 : 40 a n d 20 : 32$ are equal.
Hence, $25 : 40 a n d 20 : 32$ are in proportion.

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