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Finding the Third Proportional to 39,942 and 63,115

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Solution

The third proportional to 39,942 and 63,115 is: 99,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,942 : 63,115 = 63,115 : x
  2. Step 2: Convert to fraction form
    39,942/63,115 = 63,115/x
  3. Step 3: Cross multiply
    39,942x = 63,115 × 63,115
  4. Step 4: Simplify right side
    39,942x = 3,983,503,225
  5. Step 5: Solve for x
    x = 3,983,503,225/39,942
  6. Step 6: Final answer
    x = 99,732.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.