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Finding the Third Proportional to 2,697.05 and 3,255.19

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Solution

The third proportional to 2,697.05 and 3,255.19 is: 3,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.05 : 3,255.19 = 3,255.19 : x
  2. Step 2: Convert to fraction form
    2,697.05/3,255.19 = 3,255.19/x
  3. Step 3: Cross multiply
    2,697.05x = 3,255.19 × 3,255.19
  4. Step 4: Simplify right side
    2,697.05x = 10,596,245.66
  5. Step 5: Solve for x
    x = 10,596,245.66/2,697.05
  6. Step 6: Final answer
    x = 3,928.83

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.