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Finding the Third Proportional to 36,983.06 and 80,871.38

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Solution

The third proportional to 36,983.06 and 80,871.38 is: 176,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,983.06 : 80,871.38 = 80,871.38 : x
  2. Step 2: Convert to fraction form
    36,983.06/80,871.38 = 80,871.38/x
  3. Step 3: Cross multiply
    36,983.06x = 80,871.38 × 80,871.38
  4. Step 4: Simplify right side
    36,983.06x = 6,540,179,294.39
  5. Step 5: Solve for x
    x = 6,540,179,294.39/36,983.06
  6. Step 6: Final answer
    x = 176,842.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.