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Finding the Third Proportional to 11,499.75 and 18,480.38

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Solution

The third proportional to 11,499.75 and 18,480.38 is: 29,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.75 : 18,480.38 = 18,480.38 : x
  2. Step 2: Convert to fraction form
    11,499.75/18,480.38 = 18,480.38/x
  3. Step 3: Cross multiply
    11,499.75x = 18,480.38 × 18,480.38
  4. Step 4: Simplify right side
    11,499.75x = 341,524,260.14
  5. Step 5: Solve for x
    x = 341,524,260.14/11,499.75
  6. Step 6: Final answer
    x = 29,698.41

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.