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Finding the Third Proportional to 755.26 and 1,562.73

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Solution

The third proportional to 755.26 and 1,562.73 is: 3,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.26 : 1,562.73 = 1,562.73 : x
  2. Step 2: Convert to fraction form
    755.26/1,562.73 = 1,562.73/x
  3. Step 3: Cross multiply
    755.26x = 1,562.73 × 1,562.73
  4. Step 4: Simplify right side
    755.26x = 2,442,126.52
  5. Step 5: Solve for x
    x = 2,442,126.52/755.26
  6. Step 6: Final answer
    x = 3,233.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.