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Finding the Third Proportional to 29,552 and 63,742

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Solution

The third proportional to 29,552 and 63,742 is: 137,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,552 : 63,742 = 63,742 : x
  2. Step 2: Convert to fraction form
    29,552/63,742 = 63,742/x
  3. Step 3: Cross multiply
    29,552x = 63,742 × 63,742
  4. Step 4: Simplify right side
    29,552x = 4,063,042,564
  5. Step 5: Solve for x
    x = 4,063,042,564/29,552
  6. Step 6: Final answer
    x = 137,487.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.