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Finding the Third Proportional to 13,832 and 18,591

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Solution

The third proportional to 13,832 and 18,591 is: 24,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832 : 18,591 = 18,591 : x
  2. Step 2: Convert to fraction form
    13,832/18,591 = 18,591/x
  3. Step 3: Cross multiply
    13,832x = 18,591 × 18,591
  4. Step 4: Simplify right side
    13,832x = 345,625,281
  5. Step 5: Solve for x
    x = 345,625,281/13,832
  6. Step 6: Final answer
    x = 24,987.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.