Step-by-step Solution:
Let the "?" be known as "x".
Given equation:
3/5 = 24/40 = x/60
Therefore, we obtain the following equations:
- Equation 1: 3/5 = 24/40
- Equation 2: 3/5 = x/60
- Equation 3: 24/40 = x/60
Clearly, the second and the third equation have the "x" variable included. Therefore, we will only focus on the second and third equations.
Note: We can choose any equation to solve for x. The value of x in both equations will be the same as 3/5 = 24/40.
Determining the "x" variable in Equation 2:
- ⇒ 3/5 = x/60
- ⇒ 5x = 60 × 3 [Cross multiplication]
- ⇒ 5x = 180 [Simplifying]
- ⇒ 5x/5 = 180/5 [Dividing]
- ⇒ x = 36 [Simplifying]
Determining the "x" variable in Equation 3:
- ⇒ 24/40 = x/60
- ⇒ 40x = 24 × 60 [Cross multiplication]
- ⇒ 40x = 1440 [Simplifying]
- ⇒ 40x/40 = 1440/40 [Dividing]
- ⇒ x = 36 [Simplifying]
Therefore, the value of "?" is 36.