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Finding the Third Proportional to 39,474 and 61,353

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Solution

The third proportional to 39,474 and 61,353 is: 95,358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,474 : 61,353 = 61,353 : x
  2. Step 2: Convert to fraction form
    39,474/61,353 = 61,353/x
  3. Step 3: Cross multiply
    39,474x = 61,353 × 61,353
  4. Step 4: Simplify right side
    39,474x = 3,764,190,609
  5. Step 5: Solve for x
    x = 3,764,190,609/39,474
  6. Step 6: Final answer
    x = 95,358.73

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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.