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Finding the Third Proportional to 39,684 and 61,414

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Solution

The third proportional to 39,684 and 61,414 is: 95,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,684 : 61,414 = 61,414 : x
  2. Step 2: Convert to fraction form
    39,684/61,414 = 61,414/x
  3. Step 3: Cross multiply
    39,684x = 61,414 × 61,414
  4. Step 4: Simplify right side
    39,684x = 3,771,679,396
  5. Step 5: Solve for x
    x = 3,771,679,396/39,684
  6. Step 6: Final answer
    x = 95,042.82

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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.