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Finding the Third Proportional to 4,408.17 and 9,499.78

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Solution

The third proportional to 4,408.17 and 9,499.78 is: 20,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.17 : 9,499.78 = 9,499.78 : x
  2. Step 2: Convert to fraction form
    4,408.17/9,499.78 = 9,499.78/x
  3. Step 3: Cross multiply
    4,408.17x = 9,499.78 × 9,499.78
  4. Step 4: Simplify right side
    4,408.17x = 90,245,843.80
  5. Step 5: Solve for x
    x = 90,245,843.80/4,408.17
  6. Step 6: Final answer
    x = 20,472.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.