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Finding the Third Proportional to 3,226.78 and 7,087.78

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Solution

The third proportional to 3,226.78 and 7,087.78 is: 15,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.78 : 7,087.78 = 7,087.78 : x
  2. Step 2: Convert to fraction form
    3,226.78/7,087.78 = 7,087.78/x
  3. Step 3: Cross multiply
    3,226.78x = 7,087.78 × 7,087.78
  4. Step 4: Simplify right side
    3,226.78x = 50,236,643.05
  5. Step 5: Solve for x
    x = 50,236,643.05/3,226.78
  6. Step 6: Final answer
    x = 15,568.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.