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Finding the Third Proportional to 39,421 and 59,542

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Solution

The third proportional to 39,421 and 59,542 is: 89,933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,421 : 59,542 = 59,542 : x
  2. Step 2: Convert to fraction form
    39,421/59,542 = 59,542/x
  3. Step 3: Cross multiply
    39,421x = 59,542 × 59,542
  4. Step 4: Simplify right side
    39,421x = 3,545,249,764
  5. Step 5: Solve for x
    x = 3,545,249,764/39,421
  6. Step 6: Final answer
    x = 89,933.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.