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Finding the Third Proportional to 2,761.28 and 4,132.90

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Solution

The third proportional to 2,761.28 and 4,132.90 is: 6,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.28 : 4,132.90 = 4,132.90 : x
  2. Step 2: Convert to fraction form
    2,761.28/4,132.90 = 4,132.90/x
  3. Step 3: Cross multiply
    2,761.28x = 4,132.90 × 4,132.90
  4. Step 4: Simplify right side
    2,761.28x = 17,080,849.49
  5. Step 5: Solve for x
    x = 17,080,849.49/2,761.28
  6. Step 6: Final answer
    x = 6,185.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.