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Finding the Third Proportional to 8,480.25 and 20,441.25

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Solution

The third proportional to 8,480.25 and 20,441.25 is: 49,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.25 : 20,441.25 = 20,441.25 : x
  2. Step 2: Convert to fraction form
    8,480.25/20,441.25 = 20,441.25/x
  3. Step 3: Cross multiply
    8,480.25x = 20,441.25 × 20,441.25
  4. Step 4: Simplify right side
    8,480.25x = 417,844,701.56
  5. Step 5: Solve for x
    x = 417,844,701.56/8,480.25
  6. Step 6: Final answer
    x = 49,272.69

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.