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Finding the Third Proportional to 2,077.31 and 4,517.44

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Solution

The third proportional to 2,077.31 and 4,517.44 is: 9,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.31 : 4,517.44 = 4,517.44 : x
  2. Step 2: Convert to fraction form
    2,077.31/4,517.44 = 4,517.44/x
  3. Step 3: Cross multiply
    2,077.31x = 4,517.44 × 4,517.44
  4. Step 4: Simplify right side
    2,077.31x = 20,407,241.57
  5. Step 5: Solve for x
    x = 20,407,241.57/2,077.31
  6. Step 6: Final answer
    x = 9,823.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.