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Finding the Third Proportional to 8,212.75 and 18,015.25

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Solution

The third proportional to 8,212.75 and 18,015.25 is: 39,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.75 : 18,015.25 = 18,015.25 : x
  2. Step 2: Convert to fraction form
    8,212.75/18,015.25 = 18,015.25/x
  3. Step 3: Cross multiply
    8,212.75x = 18,015.25 × 18,015.25
  4. Step 4: Simplify right side
    8,212.75x = 324,549,232.56
  5. Step 5: Solve for x
    x = 324,549,232.56/8,212.75
  6. Step 6: Final answer
    x = 39,517.73

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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.