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Finding the Third Proportional to 34,766.44 and 80,879.06

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Solution

The third proportional to 34,766.44 and 80,879.06 is: 188,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,766.44 : 80,879.06 = 80,879.06 : x
  2. Step 2: Convert to fraction form
    34,766.44/80,879.06 = 80,879.06/x
  3. Step 3: Cross multiply
    34,766.44x = 80,879.06 × 80,879.06
  4. Step 4: Simplify right side
    34,766.44x = 6,541,422,750.88
  5. Step 5: Solve for x
    x = 6,541,422,750.88/34,766.44
  6. Step 6: Final answer
    x = 188,153.38

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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.