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Finding the Third Proportional to 40,605 and 62,493

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Solution

The third proportional to 40,605 and 62,493 is: 96,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,605 : 62,493 = 62,493 : x
  2. Step 2: Convert to fraction form
    40,605/62,493 = 62,493/x
  3. Step 3: Cross multiply
    40,605x = 62,493 × 62,493
  4. Step 4: Simplify right side
    40,605x = 3,905,375,049
  5. Step 5: Solve for x
    x = 3,905,375,049/40,605
  6. Step 6: Final answer
    x = 96,179.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.