Respuesta :

3:8 = 12:32

For easier understanding, we make 3:8 into 3/8 and 12:32 into 12/32

3/8 = 12/32

Cross multiply
3*32 = 8*12
96 = 96

Since the products are equal, the ratios are equivalent.

You can also simplify 12:32
12 / 4 = 3
32 / 4 = 8



Answer: with Step-by-step explanation:

We are given that two ratios are 3:8 and 12:32

We have to find the given two ratios are equivalent

[tex]12=3\times 4[/tex]

[tex]32=8\times 4[/tex]

When two ratios a:b and c:d are equivalent then there exist x such that

c=ax and d=bx

Therefore, there exist 4 such that 12=4 times 3 and 32=4 times 8

Hence, the two ratios are equivalent.

Hence, proved.

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