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Finding the Third Proportional to 29,868 and 45,542

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Solution

The third proportional to 29,868 and 45,542 is: 69,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,868 : 45,542 = 45,542 : x
  2. Step 2: Convert to fraction form
    29,868/45,542 = 45,542/x
  3. Step 3: Cross multiply
    29,868x = 45,542 × 45,542
  4. Step 4: Simplify right side
    29,868x = 2,074,073,764
  5. Step 5: Solve for x
    x = 2,074,073,764/29,868
  6. Step 6: Final answer
    x = 69,441.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.