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Finding the Third Proportional to 15,976 and 22,344

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Solution

The third proportional to 15,976 and 22,344 is: 31,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,976 : 22,344 = 22,344 : x
  2. Step 2: Convert to fraction form
    15,976/22,344 = 22,344/x
  3. Step 3: Cross multiply
    15,976x = 22,344 × 22,344
  4. Step 4: Simplify right side
    15,976x = 499,254,336
  5. Step 5: Solve for x
    x = 499,254,336/15,976
  6. Step 6: Final answer
    x = 31,250.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.