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Finding the Third Proportional to 36,589.13 and 55,171.88

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Solution

The third proportional to 36,589.13 and 55,171.88 is: 83,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,589.13 : 55,171.88 = 55,171.88 : x
  2. Step 2: Convert to fraction form
    36,589.13/55,171.88 = 55,171.88/x
  3. Step 3: Cross multiply
    36,589.13x = 55,171.88 × 55,171.88
  4. Step 4: Simplify right side
    36,589.13x = 3,043,935,791.02
  5. Step 5: Solve for x
    x = 3,043,935,791.02/36,589.13
  6. Step 6: Final answer
    x = 83,192.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.