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Finding the Third Proportional to 865.27 and 936.14

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Solution

The third proportional to 865.27 and 936.14 is: 1,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.27 : 936.14 = 936.14 : x
  2. Step 2: Convert to fraction form
    865.27/936.14 = 936.14/x
  3. Step 3: Cross multiply
    865.27x = 936.14 × 936.14
  4. Step 4: Simplify right side
    865.27x = 876,359.27
  5. Step 5: Solve for x
    x = 876,359.27/865.27
  6. Step 6: Final answer
    x = 1,012.82

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.