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Finding the Third Proportional to 1,282.69 and 2,761.69

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Solution

The third proportional to 1,282.69 and 2,761.69 is: 5,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.69 : 2,761.69 = 2,761.69 : x
  2. Step 2: Convert to fraction form
    1,282.69/2,761.69 = 2,761.69/x
  3. Step 3: Cross multiply
    1,282.69x = 2,761.69 × 2,761.69
  4. Step 4: Simplify right side
    1,282.69x = 7,626,917.85
  5. Step 5: Solve for x
    x = 7,626,917.85/1,282.69
  6. Step 6: Final answer
    x = 5,946.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.