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Finding the Third Proportional to 4,447.41 and 9,022.64

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Solution

The third proportional to 4,447.41 and 9,022.64 is: 18,304.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.41 : 9,022.64 = 9,022.64 : x
  2. Step 2: Convert to fraction form
    4,447.41/9,022.64 = 9,022.64/x
  3. Step 3: Cross multiply
    4,447.41x = 9,022.64 × 9,022.64
  4. Step 4: Simplify right side
    4,447.41x = 81,408,043.85
  5. Step 5: Solve for x
    x = 81,408,043.85/4,447.41
  6. Step 6: Final answer
    x = 18,304.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.