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Finding the Third Proportional to 10,234 and 15,837

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Solution

The third proportional to 10,234 and 15,837 is: 24,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234 : 15,837 = 15,837 : x
  2. Step 2: Convert to fraction form
    10,234/15,837 = 15,837/x
  3. Step 3: Cross multiply
    10,234x = 15,837 × 15,837
  4. Step 4: Simplify right side
    10,234x = 250,810,569
  5. Step 5: Solve for x
    x = 250,810,569/10,234
  6. Step 6: Final answer
    x = 24,507.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.