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Finding the Third Proportional to 3,493 and 7,087.25

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Solution

The third proportional to 3,493 and 7,087.25 is: 14,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493 : 7,087.25 = 7,087.25 : x
  2. Step 2: Convert to fraction form
    3,493/7,087.25 = 7,087.25/x
  3. Step 3: Cross multiply
    3,493x = 7,087.25 × 7,087.25
  4. Step 4: Simplify right side
    3,493x = 50,229,112.56
  5. Step 5: Solve for x
    x = 50,229,112.56/3,493
  6. Step 6: Final answer
    x = 14,379.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.