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Finding the Third Proportional to 29,743 and 39,651

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Solution

The third proportional to 29,743 and 39,651 is: 52,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,743 : 39,651 = 39,651 : x
  2. Step 2: Convert to fraction form
    29,743/39,651 = 39,651/x
  3. Step 3: Cross multiply
    29,743x = 39,651 × 39,651
  4. Step 4: Simplify right side
    29,743x = 1,572,201,801
  5. Step 5: Solve for x
    x = 1,572,201,801/29,743
  6. Step 6: Final answer
    x = 52,859.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.