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Finding the Third Proportional to 39,623 and 59,439

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Solution

The third proportional to 39,623 and 59,439 is: 89,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,623 : 59,439 = 59,439 : x
  2. Step 2: Convert to fraction form
    39,623/59,439 = 59,439/x
  3. Step 3: Cross multiply
    39,623x = 59,439 × 59,439
  4. Step 4: Simplify right side
    39,623x = 3,532,994,721
  5. Step 5: Solve for x
    x = 3,532,994,721/39,623
  6. Step 6: Final answer
    x = 89,165.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.