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Finding the Third Proportional to 1,279.69 and 1,877.25

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Solution

The third proportional to 1,279.69 and 1,877.25 is: 2,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.69 : 1,877.25 = 1,877.25 : x
  2. Step 2: Convert to fraction form
    1,279.69/1,877.25 = 1,877.25/x
  3. Step 3: Cross multiply
    1,279.69x = 1,877.25 × 1,877.25
  4. Step 4: Simplify right side
    1,279.69x = 3,524,067.56
  5. Step 5: Solve for x
    x = 3,524,067.56/1,279.69
  6. Step 6: Final answer
    x = 2,753.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.