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Finding the Third Proportional to 2,057.91 and 2,452.78

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Solution

The third proportional to 2,057.91 and 2,452.78 is: 2,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.91 : 2,452.78 = 2,452.78 : x
  2. Step 2: Convert to fraction form
    2,057.91/2,452.78 = 2,452.78/x
  3. Step 3: Cross multiply
    2,057.91x = 2,452.78 × 2,452.78
  4. Step 4: Simplify right side
    2,057.91x = 6,016,135.86
  5. Step 5: Solve for x
    x = 6,016,135.86/2,057.91
  6. Step 6: Final answer
    x = 2,923.43

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.