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Finding the Third Proportional to 15,713 and 22,397

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Solution

The third proportional to 15,713 and 22,397 is: 31,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713 : 22,397 = 22,397 : x
  2. Step 2: Convert to fraction form
    15,713/22,397 = 22,397/x
  3. Step 3: Cross multiply
    15,713x = 22,397 × 22,397
  4. Step 4: Simplify right side
    15,713x = 501,625,609
  5. Step 5: Solve for x
    x = 501,625,609/15,713
  6. Step 6: Final answer
    x = 31,924.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.