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Finding the Third Proportional to 3,968.16 and 9,226.41

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Solution

The third proportional to 3,968.16 and 9,226.41 is: 21,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.16 : 9,226.41 = 9,226.41 : x
  2. Step 2: Convert to fraction form
    3,968.16/9,226.41 = 9,226.41/x
  3. Step 3: Cross multiply
    3,968.16x = 9,226.41 × 9,226.41
  4. Step 4: Simplify right side
    3,968.16x = 85,126,572.29
  5. Step 5: Solve for x
    x = 85,126,572.29/3,968.16
  6. Step 6: Final answer
    x = 21,452.42

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.