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Finding the Third Proportional to 43,530.75 and 69,022.13

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Solution

The third proportional to 43,530.75 and 69,022.13 is: 109,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,530.75 : 69,022.13 = 69,022.13 : x
  2. Step 2: Convert to fraction form
    43,530.75/69,022.13 = 69,022.13/x
  3. Step 3: Cross multiply
    43,530.75x = 69,022.13 × 69,022.13
  4. Step 4: Simplify right side
    43,530.75x = 4,764,053,739.52
  5. Step 5: Solve for x
    x = 4,764,053,739.52/43,530.75
  6. Step 6: Final answer
    x = 109,441.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.