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Finding the Third Proportional to 10,517.25 and 23,220.75

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Solution

The third proportional to 10,517.25 and 23,220.75 is: 51,268.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.25 : 23,220.75 = 23,220.75 : x
  2. Step 2: Convert to fraction form
    10,517.25/23,220.75 = 23,220.75/x
  3. Step 3: Cross multiply
    10,517.25x = 23,220.75 × 23,220.75
  4. Step 4: Simplify right side
    10,517.25x = 539,203,230.56
  5. Step 5: Solve for x
    x = 539,203,230.56/10,517.25
  6. Step 6: Final answer
    x = 51,268.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.