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Finding the Third Proportional to 6,469 and 15,837

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Solution

The third proportional to 6,469 and 15,837 is: 38,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469 : 15,837 = 15,837 : x
  2. Step 2: Convert to fraction form
    6,469/15,837 = 15,837/x
  3. Step 3: Cross multiply
    6,469x = 15,837 × 15,837
  4. Step 4: Simplify right side
    6,469x = 250,810,569
  5. Step 5: Solve for x
    x = 250,810,569/6,469
  6. Step 6: Final answer
    x = 38,771.15

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.