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Finding the Third Proportional to 4,469.25 and 10,391.25

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Solution

The third proportional to 4,469.25 and 10,391.25 is: 24,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.25 : 10,391.25 = 10,391.25 : x
  2. Step 2: Convert to fraction form
    4,469.25/10,391.25 = 10,391.25/x
  3. Step 3: Cross multiply
    4,469.25x = 10,391.25 × 10,391.25
  4. Step 4: Simplify right side
    4,469.25x = 107,978,076.56
  5. Step 5: Solve for x
    x = 107,978,076.56/4,469.25
  6. Step 6: Final answer
    x = 24,160.22

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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.