We are given:

• $a = 5\%$ of $b$, which means $a = 0.05b$
• $b = 24\%$ of $c$, which means $b = 0.24c$
• $a = 480$

Let's solve this step-by-step.

Step 1: Find the value of $b$

From the first equation $a = 0.05b$, substitute $a = 480$:

$480 = 0.05b$

Solve for $b$:

$b = \frac{480}{0.05} = 9600$

Step 2: Find the value of $c$

From the second equation $b = 0.24c$, substitute $b = 9600$:

$9600 = 0.24c$

Solve for $c$:

$c = \frac{9600}{0.24} = 40000$

Final Values:

• $b = 9600$
• $c = 40000$

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. What is the percentage relationship between $a$ and $c$?
2. If $b$ were increased by 10%, what would the new value of $c$ be?
3. What would happen to $c$ if $a$ doubled while the percentages remained the same?
4. How would the value of $b$ change if $a$ were 6% of $b$?
5. Can you express $c$ as a function of $a$ without intermediate steps?

Tip: Always double-check the units or percentages involved in word problems to avoid mistakes.