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Finding the Third Proportional to 10,268.44 and 22,452.19

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Solution

The third proportional to 10,268.44 and 22,452.19 is: 49,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268.44 : 22,452.19 = 22,452.19 : x
  2. Step 2: Convert to fraction form
    10,268.44/22,452.19 = 22,452.19/x
  3. Step 3: Cross multiply
    10,268.44x = 22,452.19 × 22,452.19
  4. Step 4: Simplify right side
    10,268.44x = 504,100,723.54
  5. Step 5: Solve for x
    x = 504,100,723.54/10,268.44
  6. Step 6: Final answer
    x = 49,092.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.