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Finding the Third Proportional to 36,165 and 55,992.75

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Solution

The third proportional to 36,165 and 55,992.75 is: 86,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,165 : 55,992.75 = 55,992.75 : x
  2. Step 2: Convert to fraction form
    36,165/55,992.75 = 55,992.75/x
  3. Step 3: Cross multiply
    36,165x = 55,992.75 × 55,992.75
  4. Step 4: Simplify right side
    36,165x = 3,135,188,052.56
  5. Step 5: Solve for x
    x = 3,135,188,052.56/36,165
  6. Step 6: Final answer
    x = 86,691.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.