Step 1a

Here a = 6, b = 8, c = x and d = 10.
First, write in proportion form \$a/b\$ :: \$c/d\$ i.e., \$6/8\$ :: \$x/10\$.

Explanation: Given proportion a = 6, b = 8 ,c = x and d = 10. Let’s get started! Just write the proportion like this: \$a/b :: c/d\$. For instance, you can use \$6/8 :: x/10\$.

Step 1b

Now, finding the third proportion x = \$(6 times 10)/8 = 7.5\$.

So, the third ratio is 7.5.

Explanation: In this step, we are finding the third proportion using x = \$(6 times 10)/8\$ and got 7.5 as the answer. The third ratio equals 7.5.

Step 2a

Convert the provided proportion into a fraction \$(x + 3)/5\$ = \$(x + 6)/3\$.

For this step, multiply the numbers using cross-multiplication (x+3)3= (x+6)5
3x+9 = 5x+30.

Explanation: Here, converting proportion into a fraction \$(x + 3)/5\$ = \$(x + 6)/3\$. After multiply the numbers then we get 3x + 9 = 5x + 30.

Step 2b

In this step, 5x - 3x = 30 - 9. Currently determining the value of x: 2x = 21.

The value of x is 21 divided by 2, which equals 10.5.

Explanation: In this step, we find the x value by dividing both sides by 2, which gives us 21.5.