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Finding the Third Proportional to 13,201.73 and 27,018.56

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Solution

The third proportional to 13,201.73 and 27,018.56 is: 55,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.73 : 27,018.56 = 27,018.56 : x
  2. Step 2: Convert to fraction form
    13,201.73/27,018.56 = 27,018.56/x
  3. Step 3: Cross multiply
    13,201.73x = 27,018.56 × 27,018.56
  4. Step 4: Simplify right side
    13,201.73x = 730,002,719.57
  5. Step 5: Solve for x
    x = 730,002,719.57/13,201.73
  6. Step 6: Final answer
    x = 55,295.97

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.