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Finding the Third Proportional to 1,541.53 and 2,452.78

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Solution

The third proportional to 1,541.53 and 2,452.78 is: 3,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.53 : 2,452.78 = 2,452.78 : x
  2. Step 2: Convert to fraction form
    1,541.53/2,452.78 = 2,452.78/x
  3. Step 3: Cross multiply
    1,541.53x = 2,452.78 × 2,452.78
  4. Step 4: Simplify right side
    1,541.53x = 6,016,135.86
  5. Step 5: Solve for x
    x = 6,016,135.86/1,541.53
  6. Step 6: Final answer
    x = 3,902.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.