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Finding the Third Proportional to 18,042.75 and 27,021.41

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Solution

The third proportional to 18,042.75 and 27,021.41 is: 40,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042.75 : 27,021.41 = 27,021.41 : x
  2. Step 2: Convert to fraction form
    18,042.75/27,021.41 = 27,021.41/x
  3. Step 3: Cross multiply
    18,042.75x = 27,021.41 × 27,021.41
  4. Step 4: Simplify right side
    18,042.75x = 730,156,606.83
  5. Step 5: Solve for x
    x = 730,156,606.83/18,042.75
  6. Step 6: Final answer
    x = 40,468.14

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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.