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Finding the Third Proportional to 35,727 and 80,812

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Solution

The third proportional to 35,727 and 80,812 is: 182,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,727 : 80,812 = 80,812 : x
  2. Step 2: Convert to fraction form
    35,727/80,812 = 80,812/x
  3. Step 3: Cross multiply
    35,727x = 80,812 × 80,812
  4. Step 4: Simplify right side
    35,727x = 6,530,579,344
  5. Step 5: Solve for x
    x = 6,530,579,344/35,727
  6. Step 6: Final answer
    x = 182,791.15

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.