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Finding the Third Proportional to 10,234 and 15,719

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Solution

The third proportional to 10,234 and 15,719 is: 24,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234 : 15,719 = 15,719 : x
  2. Step 2: Convert to fraction form
    10,234/15,719 = 15,719/x
  3. Step 3: Cross multiply
    10,234x = 15,719 × 15,719
  4. Step 4: Simplify right side
    10,234x = 247,086,961
  5. Step 5: Solve for x
    x = 247,086,961/10,234
  6. Step 6: Final answer
    x = 24,143.73

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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.