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Finding the Third Proportional to 33,351 and 71,805

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Solution

The third proportional to 33,351 and 71,805 is: 154,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,351 : 71,805 = 71,805 : x
  2. Step 2: Convert to fraction form
    33,351/71,805 = 71,805/x
  3. Step 3: Cross multiply
    33,351x = 71,805 × 71,805
  4. Step 4: Simplify right side
    33,351x = 5,155,958,025
  5. Step 5: Solve for x
    x = 5,155,958,025/33,351
  6. Step 6: Final answer
    x = 154,596.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.