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Finding the Third Proportional to 1,540.27 and 3,183.05

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Solution

The third proportional to 1,540.27 and 3,183.05 is: 6,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.27 : 3,183.05 = 3,183.05 : x
  2. Step 2: Convert to fraction form
    1,540.27/3,183.05 = 3,183.05/x
  3. Step 3: Cross multiply
    1,540.27x = 3,183.05 × 3,183.05
  4. Step 4: Simplify right side
    1,540.27x = 10,131,787.41
  5. Step 5: Solve for x
    x = 10,131,787.41/1,540.27
  6. Step 6: Final answer
    x = 6,577.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.