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Finding the Third Proportional to 41,469 and 62,502

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Solution

The third proportional to 41,469 and 62,502 is: 94,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,469 : 62,502 = 62,502 : x
  2. Step 2: Convert to fraction form
    41,469/62,502 = 62,502/x
  3. Step 3: Cross multiply
    41,469x = 62,502 × 62,502
  4. Step 4: Simplify right side
    41,469x = 3,906,500,004
  5. Step 5: Solve for x
    x = 3,906,500,004/41,469
  6. Step 6: Final answer
    x = 94,202.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.