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Finding the Third Proportional to 29,874 and 44,651

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Solution

The third proportional to 29,874 and 44,651 is: 66,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,874 : 44,651 = 44,651 : x
  2. Step 2: Convert to fraction form
    29,874/44,651 = 44,651/x
  3. Step 3: Cross multiply
    29,874x = 44,651 × 44,651
  4. Step 4: Simplify right side
    29,874x = 1,993,711,801
  5. Step 5: Solve for x
    x = 1,993,711,801/29,874
  6. Step 6: Final answer
    x = 66,737.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.