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Finding the Third Proportional to 18,591 and 29,927

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Solution

The third proportional to 18,591 and 29,927 is: 48,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,591 : 29,927 = 29,927 : x
  2. Step 2: Convert to fraction form
    18,591/29,927 = 29,927/x
  3. Step 3: Cross multiply
    18,591x = 29,927 × 29,927
  4. Step 4: Simplify right side
    18,591x = 895,625,329
  5. Step 5: Solve for x
    x = 895,625,329/18,591
  6. Step 6: Final answer
    x = 48,175.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.