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Finding the Third Proportional to 3,318.44 and 5,003.31

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Solution

The third proportional to 3,318.44 and 5,003.31 is: 7,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.44 : 5,003.31 = 5,003.31 : x
  2. Step 2: Convert to fraction form
    3,318.44/5,003.31 = 5,003.31/x
  3. Step 3: Cross multiply
    3,318.44x = 5,003.31 × 5,003.31
  4. Step 4: Simplify right side
    3,318.44x = 25,033,135.97
  5. Step 5: Solve for x
    x = 25,033,135.97/3,318.44
  6. Step 6: Final answer
    x = 7,543.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.