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Finding the Third Proportional to 4,433.06 and 9,229.78

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Solution

The third proportional to 4,433.06 and 9,229.78 is: 19,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,433.06 : 9,229.78 = 9,229.78 : x
  2. Step 2: Convert to fraction form
    4,433.06/9,229.78 = 9,229.78/x
  3. Step 3: Cross multiply
    4,433.06x = 9,229.78 × 9,229.78
  4. Step 4: Simplify right side
    4,433.06x = 85,188,861.92
  5. Step 5: Solve for x
    x = 85,188,861.92/4,433.06
  6. Step 6: Final answer
    x = 19,216.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.