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Finding the Third Proportional to 13,982 and 29,589

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Solution

The third proportional to 13,982 and 29,589 is: 62,616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982 : 29,589 = 29,589 : x
  2. Step 2: Convert to fraction form
    13,982/29,589 = 29,589/x
  3. Step 3: Cross multiply
    13,982x = 29,589 × 29,589
  4. Step 4: Simplify right side
    13,982x = 875,508,921
  5. Step 5: Solve for x
    x = 875,508,921/13,982
  6. Step 6: Final answer
    x = 62,616.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.