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Finding the Third Proportional to 10,272 and 15,870

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Solution

The third proportional to 10,272 and 15,870 is: 24,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272 : 15,870 = 15,870 : x
  2. Step 2: Convert to fraction form
    10,272/15,870 = 15,870/x
  3. Step 3: Cross multiply
    10,272x = 15,870 × 15,870
  4. Step 4: Simplify right side
    10,272x = 251,856,900
  5. Step 5: Solve for x
    x = 251,856,900/10,272
  6. Step 6: Final answer
    x = 24,518.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.