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Finding the Third Proportional to 23,817 and 52,493

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Solution

The third proportional to 23,817 and 52,493 is: 115,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817 : 52,493 = 52,493 : x
  2. Step 2: Convert to fraction form
    23,817/52,493 = 52,493/x
  3. Step 3: Cross multiply
    23,817x = 52,493 × 52,493
  4. Step 4: Simplify right side
    23,817x = 2,755,515,049
  5. Step 5: Solve for x
    x = 2,755,515,049/23,817
  6. Step 6: Final answer
    x = 115,695.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.