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Finding the Third Proportional to 1,255.69 and 2,734.78

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Solution

The third proportional to 1,255.69 and 2,734.78 is: 5,956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.69 : 2,734.78 = 2,734.78 : x
  2. Step 2: Convert to fraction form
    1,255.69/2,734.78 = 2,734.78/x
  3. Step 3: Cross multiply
    1,255.69x = 2,734.78 × 2,734.78
  4. Step 4: Simplify right side
    1,255.69x = 7,479,028.49
  5. Step 5: Solve for x
    x = 7,479,028.49/1,255.69
  6. Step 6: Final answer
    x = 5,956.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.