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Finding the Third Proportional to 36,835.25 and 80,903.75

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Solution

The third proportional to 36,835.25 and 80,903.75 is: 177,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,835.25 : 80,903.75 = 80,903.75 : x
  2. Step 2: Convert to fraction form
    36,835.25/80,903.75 = 80,903.75/x
  3. Step 3: Cross multiply
    36,835.25x = 80,903.75 × 80,903.75
  4. Step 4: Simplify right side
    36,835.25x = 6,545,416,764.06
  5. Step 5: Solve for x
    x = 6,545,416,764.06/36,835.25
  6. Step 6: Final answer
    x = 177,694.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.