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Finding the Third Proportional to 19,952 and 29,542

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Solution

The third proportional to 19,952 and 29,542 is: 43,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,952 : 29,542 = 29,542 : x
  2. Step 2: Convert to fraction form
    19,952/29,542 = 29,542/x
  3. Step 3: Cross multiply
    19,952x = 29,542 × 29,542
  4. Step 4: Simplify right side
    19,952x = 872,729,764
  5. Step 5: Solve for x
    x = 872,729,764/19,952
  6. Step 6: Final answer
    x = 43,741.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.