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Finding the Third Proportional to 33,524 and 73,744

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Solution

The third proportional to 33,524 and 73,744 is: 162,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,524 : 73,744 = 73,744 : x
  2. Step 2: Convert to fraction form
    33,524/73,744 = 73,744/x
  3. Step 3: Cross multiply
    33,524x = 73,744 × 73,744
  4. Step 4: Simplify right side
    33,524x = 5,438,177,536
  5. Step 5: Solve for x
    x = 5,438,177,536/33,524
  6. Step 6: Final answer
    x = 162,217.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.