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Finding the Third Proportional to 2,007.60 and 4,168.97

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Solution

The third proportional to 2,007.60 and 4,168.97 is: 8,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.60 : 4,168.97 = 4,168.97 : x
  2. Step 2: Convert to fraction form
    2,007.60/4,168.97 = 4,168.97/x
  3. Step 3: Cross multiply
    2,007.60x = 4,168.97 × 4,168.97
  4. Step 4: Simplify right side
    2,007.60x = 17,380,300.44
  5. Step 5: Solve for x
    x = 17,380,300.44/2,007.60
  6. Step 6: Final answer
    x = 8,657.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.