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Finding the Third Proportional to 865.27 and 1,375.52

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Solution

The third proportional to 865.27 and 1,375.52 is: 2,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.27 : 1,375.52 = 1,375.52 : x
  2. Step 2: Convert to fraction form
    865.27/1,375.52 = 1,375.52/x
  3. Step 3: Cross multiply
    865.27x = 1,375.52 × 1,375.52
  4. Step 4: Simplify right side
    865.27x = 1,892,064.73
  5. Step 5: Solve for x
    x = 1,892,064.73/865.27
  6. Step 6: Final answer
    x = 2,186.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.