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Finding the Third Proportional to 11,499.13 and 18,000.38

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Solution

The third proportional to 11,499.13 and 18,000.38 is: 28,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.13 : 18,000.38 = 18,000.38 : x
  2. Step 2: Convert to fraction form
    11,499.13/18,000.38 = 18,000.38/x
  3. Step 3: Cross multiply
    11,499.13x = 18,000.38 × 18,000.38
  4. Step 4: Simplify right side
    11,499.13x = 324,013,500.14
  5. Step 5: Solve for x
    x = 324,013,500.14/11,499.13
  6. Step 6: Final answer
    x = 28,177.23

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.