The two equivalent ratios are 2:6:7 and 8:24:28
How to find the equivalent ratios?
two ratios are equivalent if one is a scalar times the other.
Here the two ratios are:
a:6:7
8:24:b
If these two are equivalent, then there exists a scalar k such that:
a*k = 8
6*k = 24
7*k = b
From the second equation we can find the value of k:
k = 24/6 =4
Now we can find the values of a and b.
a*4 = 8
a = 8/4 = 2
7*4 = b
28 = b
Then the ratios are:
2:6:7 and 8:24:28