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Finding the Third Proportional to 41,642 and 62,463

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Solution

The third proportional to 41,642 and 62,463 is: 93,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,642 : 62,463 = 62,463 : x
  2. Step 2: Convert to fraction form
    41,642/62,463 = 62,463/x
  3. Step 3: Cross multiply
    41,642x = 62,463 × 62,463
  4. Step 4: Simplify right side
    41,642x = 3,901,626,369
  5. Step 5: Solve for x
    x = 3,901,626,369/41,642
  6. Step 6: Final answer
    x = 93,694.50

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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.