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Finding the Third Proportional to 33,022.50 and 50,166

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Solution

The third proportional to 33,022.50 and 50,166 is: 76,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,022.50 : 50,166 = 50,166 : x
  2. Step 2: Convert to fraction form
    33,022.50/50,166 = 50,166/x
  3. Step 3: Cross multiply
    33,022.50x = 50,166 × 50,166
  4. Step 4: Simplify right side
    33,022.50x = 2,516,627,556
  5. Step 5: Solve for x
    x = 2,516,627,556/33,022.50
  6. Step 6: Final answer
    x = 76,209.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.