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Finding the Third Proportional to 2,785.43 and 5,616.42

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Solution

The third proportional to 2,785.43 and 5,616.42 is: 11,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.43 : 5,616.42 = 5,616.42 : x
  2. Step 2: Convert to fraction form
    2,785.43/5,616.42 = 5,616.42/x
  3. Step 3: Cross multiply
    2,785.43x = 5,616.42 × 5,616.42
  4. Step 4: Simplify right side
    2,785.43x = 31,544,194.68
  5. Step 5: Solve for x
    x = 31,544,194.68/2,785.43
  6. Step 6: Final answer
    x = 11,324.71

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.