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Finding the Third Proportional to 6,469 and 15,027

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Solution

The third proportional to 6,469 and 15,027 is: 34,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469 : 15,027 = 15,027 : x
  2. Step 2: Convert to fraction form
    6,469/15,027 = 15,027/x
  3. Step 3: Cross multiply
    6,469x = 15,027 × 15,027
  4. Step 4: Simplify right side
    6,469x = 225,810,729
  5. Step 5: Solve for x
    x = 225,810,729/6,469
  6. Step 6: Final answer
    x = 34,906.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.