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Finding the Third Proportional to 3,797.44 and 5,680.97

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Solution

The third proportional to 3,797.44 and 5,680.97 is: 8,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.44 : 5,680.97 = 5,680.97 : x
  2. Step 2: Convert to fraction form
    3,797.44/5,680.97 = 5,680.97/x
  3. Step 3: Cross multiply
    3,797.44x = 5,680.97 × 5,680.97
  4. Step 4: Simplify right side
    3,797.44x = 32,273,405.94
  5. Step 5: Solve for x
    x = 32,273,405.94/3,797.44
  6. Step 6: Final answer
    x = 8,498.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.