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do the ratios 3:1 and 18:6 form a proportion? yes no

Question

do the ratios 3:1 and 18:6 form a proportion? yes no

Explanation:

Step1: Simplify the second ratio

To check if two ratios form a proportion, we can simplify the second ratio. The ratio \(18:6\) can be simplified by dividing both terms by their greatest common divisor, which is 6. So, \(\frac{18}{6}:\frac{6}{6}=3:1\).

Step2: Compare the two ratios

The first ratio is \(3:1\) and the simplified second ratio is also \(3:1\). Since they are equal, the ratios form a proportion.

Answer:

yes