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Finding the Third Proportional to 1,080.38 and 1,672.69

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Solution

The third proportional to 1,080.38 and 1,672.69 is: 2,589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.38 : 1,672.69 = 1,672.69 : x
  2. Step 2: Convert to fraction form
    1,080.38/1,672.69 = 1,672.69/x
  3. Step 3: Cross multiply
    1,080.38x = 1,672.69 × 1,672.69
  4. Step 4: Simplify right side
    1,080.38x = 2,797,883.47
  5. Step 5: Solve for x
    x = 2,797,883.47/1,080.38
  6. Step 6: Final answer
    x = 2,589.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.