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Finding the Third Proportional to 38,786.50 and 80,063.75

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Solution

The third proportional to 38,786.50 and 80,063.75 is: 165,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,786.50 : 80,063.75 = 80,063.75 : x
  2. Step 2: Convert to fraction form
    38,786.50/80,063.75 = 80,063.75/x
  3. Step 3: Cross multiply
    38,786.50x = 80,063.75 × 80,063.75
  4. Step 4: Simplify right side
    38,786.50x = 6,410,204,064.06
  5. Step 5: Solve for x
    x = 6,410,204,064.06/38,786.50
  6. Step 6: Final answer
    x = 165,268.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.