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Finding the Third Proportional to 1,276.86 and 2,755.27

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Solution

The third proportional to 1,276.86 and 2,755.27 is: 5,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.86 : 2,755.27 = 2,755.27 : x
  2. Step 2: Convert to fraction form
    1,276.86/2,755.27 = 2,755.27/x
  3. Step 3: Cross multiply
    1,276.86x = 2,755.27 × 2,755.27
  4. Step 4: Simplify right side
    1,276.86x = 7,591,488.66
  5. Step 5: Solve for x
    x = 7,591,488.66/1,276.86
  6. Step 6: Final answer
    x = 5,945.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.