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Finding the Third Proportional to 757.95 and 1,132.26

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Solution

The third proportional to 757.95 and 1,132.26 is: 1,691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.95 : 1,132.26 = 1,132.26 : x
  2. Step 2: Convert to fraction form
    757.95/1,132.26 = 1,132.26/x
  3. Step 3: Cross multiply
    757.95x = 1,132.26 × 1,132.26
  4. Step 4: Simplify right side
    757.95x = 1,282,012.18
  5. Step 5: Solve for x
    x = 1,282,012.18/757.95
  6. Step 6: Final answer
    x = 1,691.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.