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Finding the Third Proportional to 12,331.13 and 18,084.38

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Solution

The third proportional to 12,331.13 and 18,084.38 is: 26,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.13 : 18,084.38 = 18,084.38 : x
  2. Step 2: Convert to fraction form
    12,331.13/18,084.38 = 18,084.38/x
  3. Step 3: Cross multiply
    12,331.13x = 18,084.38 × 18,084.38
  4. Step 4: Simplify right side
    12,331.13x = 327,044,619.14
  5. Step 5: Solve for x
    x = 327,044,619.14/12,331.13
  6. Step 6: Final answer
    x = 26,521.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.