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Finding the Third Proportional to 3,227.34 and 6,902.72

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Solution

The third proportional to 3,227.34 and 6,902.72 is: 14,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.34 : 6,902.72 = 6,902.72 : x
  2. Step 2: Convert to fraction form
    3,227.34/6,902.72 = 6,902.72/x
  3. Step 3: Cross multiply
    3,227.34x = 6,902.72 × 6,902.72
  4. Step 4: Simplify right side
    3,227.34x = 47,647,526.14
  5. Step 5: Solve for x
    x = 47,647,526.14/3,227.34
  6. Step 6: Final answer
    x = 14,763.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.