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Finding the Third Proportional to 39,534 and 61,149

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Solution

The third proportional to 39,534 and 61,149 is: 94,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,534 : 61,149 = 61,149 : x
  2. Step 2: Convert to fraction form
    39,534/61,149 = 61,149/x
  3. Step 3: Cross multiply
    39,534x = 61,149 × 61,149
  4. Step 4: Simplify right side
    39,534x = 3,739,200,201
  5. Step 5: Solve for x
    x = 3,739,200,201/39,534
  6. Step 6: Final answer
    x = 94,581.88

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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.