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Finding the Third Proportional to 3,285 and 6,723.28

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Solution

The third proportional to 3,285 and 6,723.28 is: 13,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285 : 6,723.28 = 6,723.28 : x
  2. Step 2: Convert to fraction form
    3,285/6,723.28 = 6,723.28/x
  3. Step 3: Cross multiply
    3,285x = 6,723.28 × 6,723.28
  4. Step 4: Simplify right side
    3,285x = 45,202,510.77
  5. Step 5: Solve for x
    x = 45,202,510.77/3,285
  6. Step 6: Final answer
    x = 13,760.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.