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Finding the Third Proportional to 6,469 and 9,115

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Solution

The third proportional to 6,469 and 9,115 is: 12,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469 : 9,115 = 9,115 : x
  2. Step 2: Convert to fraction form
    6,469/9,115 = 9,115/x
  3. Step 3: Cross multiply
    6,469x = 9,115 × 9,115
  4. Step 4: Simplify right side
    6,469x = 83,083,225
  5. Step 5: Solve for x
    x = 83,083,225/6,469
  6. Step 6: Final answer
    x = 12,843.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.