To simplify the equation \( \frac{B}{A} = \frac{PA}{PB} \), follow these steps:

### Step 1: Cross-multiply
Multiply both sides of the equation by \( A \times PB \). This eliminates the denominators:

\[
B \times PB = A \times PA
\]

### Step 2: Rearrange
Now, rearrange the equation to isolate one side if needed:

\[
B \cdot PB = A \cdot PA
\]

This is the simplified form of the equation, indicating the relationship between the variables. If there's a specific variable you'd like to solve for, we could go further, but this is the simplest form.

Would you like further details or clarifications?

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Here are 5 related questions for practice:
1. What happens if \( PA = PB \) in the equation?
2. How can we simplify if \( A = B \)?
3. Can you factorize \( B \cdot PB = A \cdot PA \)?
4. What would happen if both sides were divided by \( P \)?
5. Can this be interpreted geometrically or physically?

**Tip**: When simplifying equations, always check if you can factor or cancel common terms after cross-multiplying!

Discover how to simplify the equation B/A = PA/PB by applying cross-multiplication and rearranging terms. This solution explores key algebraic concepts and proportion properties, suitable for students in Grades 9-11.

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