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Finding the Third Proportional to 4,268.25 and 9,793.13

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Solution

The third proportional to 4,268.25 and 9,793.13 is: 22,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.25 : 9,793.13 = 9,793.13 : x
  2. Step 2: Convert to fraction form
    4,268.25/9,793.13 = 9,793.13/x
  3. Step 3: Cross multiply
    4,268.25x = 9,793.13 × 9,793.13
  4. Step 4: Simplify right side
    4,268.25x = 95,905,297.27
  5. Step 5: Solve for x
    x = 95,905,297.27/4,268.25
  6. Step 6: Final answer
    x = 22,469.47

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.