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Finding the Third Proportional to 39,556.50 and 80,581.75

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Solution

The third proportional to 39,556.50 and 80,581.75 is: 164,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,556.50 : 80,581.75 = 80,581.75 : x
  2. Step 2: Convert to fraction form
    39,556.50/80,581.75 = 80,581.75/x
  3. Step 3: Cross multiply
    39,556.50x = 80,581.75 × 80,581.75
  4. Step 4: Simplify right side
    39,556.50x = 6,493,418,433.06
  5. Step 5: Solve for x
    x = 6,493,418,433.06/39,556.50
  6. Step 6: Final answer
    x = 164,155.54

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.