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Finding the Third Proportional to 20,894.20 and 48,759.47

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Solution

The third proportional to 20,894.20 and 48,759.47 is: 113,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.20 : 48,759.47 = 48,759.47 : x
  2. Step 2: Convert to fraction form
    20,894.20/48,759.47 = 48,759.47/x
  3. Step 3: Cross multiply
    20,894.20x = 48,759.47 × 48,759.47
  4. Step 4: Simplify right side
    20,894.20x = 2,377,485,792.78
  5. Step 5: Solve for x
    x = 2,377,485,792.78/20,894.20
  6. Step 6: Final answer
    x = 113,786.86

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.