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Finding the Third Proportional to 41,496 and 62,349

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Solution

The third proportional to 41,496 and 62,349 is: 93,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,496 : 62,349 = 62,349 : x
  2. Step 2: Convert to fraction form
    41,496/62,349 = 62,349/x
  3. Step 3: Cross multiply
    41,496x = 62,349 × 62,349
  4. Step 4: Simplify right side
    41,496x = 3,887,397,801
  5. Step 5: Solve for x
    x = 3,887,397,801/41,496
  6. Step 6: Final answer
    x = 93,681.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.