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Finding the Third Proportional to 20,778.19 and 50,093.44

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Solution

The third proportional to 20,778.19 and 50,093.44 is: 120,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.19 : 50,093.44 = 50,093.44 : x
  2. Step 2: Convert to fraction form
    20,778.19/50,093.44 = 50,093.44/x
  3. Step 3: Cross multiply
    20,778.19x = 50,093.44 × 50,093.44
  4. Step 4: Simplify right side
    20,778.19x = 2,509,352,480.57
  5. Step 5: Solve for x
    x = 2,509,352,480.57/20,778.19
  6. Step 6: Final answer
    x = 120,768.59

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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.