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Finding the Third Proportional to 3,785.70 and 7,760.29

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Solution

The third proportional to 3,785.70 and 7,760.29 is: 15,907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.70 : 7,760.29 = 7,760.29 : x
  2. Step 2: Convert to fraction form
    3,785.70/7,760.29 = 7,760.29/x
  3. Step 3: Cross multiply
    3,785.70x = 7,760.29 × 7,760.29
  4. Step 4: Simplify right side
    3,785.70x = 60,222,025.71
  5. Step 5: Solve for x
    x = 60,222,025.71/3,785.70
  6. Step 6: Final answer
    x = 15,907.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.