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Finding the Third Proportional to 8,469 and 11,314.13

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Solution

The third proportional to 8,469 and 11,314.13 is: 15,115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469 : 11,314.13 = 11,314.13 : x
  2. Step 2: Convert to fraction form
    8,469/11,314.13 = 11,314.13/x
  3. Step 3: Cross multiply
    8,469x = 11,314.13 × 11,314.13
  4. Step 4: Simplify right side
    8,469x = 128,009,424.52
  5. Step 5: Solve for x
    x = 128,009,424.52/8,469
  6. Step 6: Final answer
    x = 15,115.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.