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Finding the Third Proportional to 39,534 and 61,569

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Solution

The third proportional to 39,534 and 61,569 is: 95,885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,534 : 61,569 = 61,569 : x
  2. Step 2: Convert to fraction form
    39,534/61,569 = 61,569/x
  3. Step 3: Cross multiply
    39,534x = 61,569 × 61,569
  4. Step 4: Simplify right side
    39,534x = 3,790,741,761
  5. Step 5: Solve for x
    x = 3,790,741,761/39,534
  6. Step 6: Final answer
    x = 95,885.61

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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.