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Finding the Third Proportional to 11,694.13 and 18,002.38

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Solution

The third proportional to 11,694.13 and 18,002.38 is: 27,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.13 : 18,002.38 = 18,002.38 : x
  2. Step 2: Convert to fraction form
    11,694.13/18,002.38 = 18,002.38/x
  3. Step 3: Cross multiply
    11,694.13x = 18,002.38 × 18,002.38
  4. Step 4: Simplify right side
    11,694.13x = 324,085,505.64
  5. Step 5: Solve for x
    x = 324,085,505.64/11,694.13
  6. Step 6: Final answer
    x = 27,713.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.