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Finding the Third Proportional to 18,004.78 and 27,007.17

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Solution

The third proportional to 18,004.78 and 27,007.17 is: 40,510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,004.78 : 27,007.17 = 27,007.17 : x
  2. Step 2: Convert to fraction form
    18,004.78/27,007.17 = 27,007.17/x
  3. Step 3: Cross multiply
    18,004.78x = 27,007.17 × 27,007.17
  4. Step 4: Simplify right side
    18,004.78x = 729,387,332.69
  5. Step 5: Solve for x
    x = 729,387,332.69/18,004.78
  6. Step 6: Final answer
    x = 40,510.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.