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Finding the Third Proportional to 1,255.92 and 2,760.05

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Solution

The third proportional to 1,255.92 and 2,760.05 is: 6,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.92 : 2,760.05 = 2,760.05 : x
  2. Step 2: Convert to fraction form
    1,255.92/2,760.05 = 2,760.05/x
  3. Step 3: Cross multiply
    1,255.92x = 2,760.05 × 2,760.05
  4. Step 4: Simplify right side
    1,255.92x = 7,617,858.75
  5. Step 5: Solve for x
    x = 7,617,858.75/1,255.92
  6. Step 6: Final answer
    x = 6,065.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.