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Finding the Third Proportional to 3,882.94 and 6,057.28

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Solution

The third proportional to 3,882.94 and 6,057.28 is: 9,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.94 : 6,057.28 = 6,057.28 : x
  2. Step 2: Convert to fraction form
    3,882.94/6,057.28 = 6,057.28/x
  3. Step 3: Cross multiply
    3,882.94x = 6,057.28 × 6,057.28
  4. Step 4: Simplify right side
    3,882.94x = 36,690,656.14
  5. Step 5: Solve for x
    x = 36,690,656.14/3,882.94
  6. Step 6: Final answer
    x = 9,449.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.