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Finding the Third Proportional to 40,914 and 63,499

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Solution

The third proportional to 40,914 and 63,499 is: 98,551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,914 : 63,499 = 63,499 : x
  2. Step 2: Convert to fraction form
    40,914/63,499 = 63,499/x
  3. Step 3: Cross multiply
    40,914x = 63,499 × 63,499
  4. Step 4: Simplify right side
    40,914x = 4,032,123,001
  5. Step 5: Solve for x
    x = 4,032,123,001/40,914
  6. Step 6: Final answer
    x = 98,551.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.