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Finding the Third Proportional to 5,114.39 and 6,872.82

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Solution

The third proportional to 5,114.39 and 6,872.82 is: 9,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.39 : 6,872.82 = 6,872.82 : x
  2. Step 2: Convert to fraction form
    5,114.39/6,872.82 = 6,872.82/x
  3. Step 3: Cross multiply
    5,114.39x = 6,872.82 × 6,872.82
  4. Step 4: Simplify right side
    5,114.39x = 47,235,632.20
  5. Step 5: Solve for x
    x = 47,235,632.20/5,114.39
  6. Step 6: Final answer
    x = 9,235.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.