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Finding the Third Proportional to 4,072.78 and 6,757.17

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Solution

The third proportional to 4,072.78 and 6,757.17 is: 11,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.78 : 6,757.17 = 6,757.17 : x
  2. Step 2: Convert to fraction form
    4,072.78/6,757.17 = 6,757.17/x
  3. Step 3: Cross multiply
    4,072.78x = 6,757.17 × 6,757.17
  4. Step 4: Simplify right side
    4,072.78x = 45,659,371.75
  5. Step 5: Solve for x
    x = 45,659,371.75/4,072.78
  6. Step 6: Final answer
    x = 11,210.86

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.