Value of "a" is 10
Given that we have to solve the given proportion
[tex]\frac{3}{5} = \frac{a + 5}{25}[/tex]
Let us solve the proportion
Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction
Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction
Set the two products equal to each other
Solve for the variable
[tex]\frac{3}{5} = \frac{a + 5}{25}[/tex]
[tex]3 \times 25 = 5 \times (a + 5)\\\\75 = 5a + 25\\\\5a = 75 - 25\\\\5a = 50\\\\a = \frac{50}{5}\\\\a = 10[/tex]
Thus value of a is 10
