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Finding the Third Proportional to 15,614 and 23,812

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Solution

The third proportional to 15,614 and 23,812 is: 36,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614 : 23,812 = 23,812 : x
  2. Step 2: Convert to fraction form
    15,614/23,812 = 23,812/x
  3. Step 3: Cross multiply
    15,614x = 23,812 × 23,812
  4. Step 4: Simplify right side
    15,614x = 567,011,344
  5. Step 5: Solve for x
    x = 567,011,344/15,614
  6. Step 6: Final answer
    x = 36,314.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.