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Finding the Third Proportional to 39,701 and 61,446

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Solution

The third proportional to 39,701 and 61,446 is: 95,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,701 : 61,446 = 61,446 : x
  2. Step 2: Convert to fraction form
    39,701/61,446 = 61,446/x
  3. Step 3: Cross multiply
    39,701x = 61,446 × 61,446
  4. Step 4: Simplify right side
    39,701x = 3,775,610,916
  5. Step 5: Solve for x
    x = 3,775,610,916/39,701
  6. Step 6: Final answer
    x = 95,101.15

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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.