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Finding the Third Proportional to 6,227.82 and 12,282.65

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Solution

The third proportional to 6,227.82 and 12,282.65 is: 24,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.82 : 12,282.65 = 12,282.65 : x
  2. Step 2: Convert to fraction form
    6,227.82/12,282.65 = 12,282.65/x
  3. Step 3: Cross multiply
    6,227.82x = 12,282.65 × 12,282.65
  4. Step 4: Simplify right side
    6,227.82x = 150,863,572.59
  5. Step 5: Solve for x
    x = 150,863,572.59/6,227.82
  6. Step 6: Final answer
    x = 24,224.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.