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Finding the Third Proportional to 29,110 and 62,374

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Solution

The third proportional to 29,110 and 62,374 is: 133,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,110 : 62,374 = 62,374 : x
  2. Step 2: Convert to fraction form
    29,110/62,374 = 62,374/x
  3. Step 3: Cross multiply
    29,110x = 62,374 × 62,374
  4. Step 4: Simplify right side
    29,110x = 3,890,515,876
  5. Step 5: Solve for x
    x = 3,890,515,876/29,110
  6. Step 6: Final answer
    x = 133,648.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.