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Finding the Third Proportional to 10,163 and 15,839

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Solution

The third proportional to 10,163 and 15,839 is: 24,685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163 : 15,839 = 15,839 : x
  2. Step 2: Convert to fraction form
    10,163/15,839 = 15,839/x
  3. Step 3: Cross multiply
    10,163x = 15,839 × 15,839
  4. Step 4: Simplify right side
    10,163x = 250,873,921
  5. Step 5: Solve for x
    x = 250,873,921/10,163
  6. Step 6: Final answer
    x = 24,685.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.