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Finding the Third Proportional to 39,796 and 62,115

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Solution

The third proportional to 39,796 and 62,115 is: 96,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,796 : 62,115 = 62,115 : x
  2. Step 2: Convert to fraction form
    39,796/62,115 = 62,115/x
  3. Step 3: Cross multiply
    39,796x = 62,115 × 62,115
  4. Step 4: Simplify right side
    39,796x = 3,858,273,225
  5. Step 5: Solve for x
    x = 3,858,273,225/39,796
  6. Step 6: Final answer
    x = 96,951.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.