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Finding the Third Proportional to 3,204.56 and 6,633.14

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Solution

The third proportional to 3,204.56 and 6,633.14 is: 13,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.56 : 6,633.14 = 6,633.14 : x
  2. Step 2: Convert to fraction form
    3,204.56/6,633.14 = 6,633.14/x
  3. Step 3: Cross multiply
    3,204.56x = 6,633.14 × 6,633.14
  4. Step 4: Simplify right side
    3,204.56x = 43,998,554.55
  5. Step 5: Solve for x
    x = 43,998,554.55/3,204.56
  6. Step 6: Final answer
    x = 13,729.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.