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Finding the Third Proportional to 15,614 and 23,397

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Solution

The third proportional to 15,614 and 23,397 is: 35,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614 : 23,397 = 23,397 : x
  2. Step 2: Convert to fraction form
    15,614/23,397 = 23,397/x
  3. Step 3: Cross multiply
    15,614x = 23,397 × 23,397
  4. Step 4: Simplify right side
    15,614x = 547,419,609
  5. Step 5: Solve for x
    x = 547,419,609/15,614
  6. Step 6: Final answer
    x = 35,059.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.