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Finding the Third Proportional to 3,326.16 and 5,543.39

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Solution

The third proportional to 3,326.16 and 5,543.39 is: 9,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,326.16 : 5,543.39 = 5,543.39 : x
  2. Step 2: Convert to fraction form
    3,326.16/5,543.39 = 5,543.39/x
  3. Step 3: Cross multiply
    3,326.16x = 5,543.39 × 5,543.39
  4. Step 4: Simplify right side
    3,326.16x = 30,729,179.62
  5. Step 5: Solve for x
    x = 30,729,179.62/3,326.16
  6. Step 6: Final answer
    x = 9,238.65

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.