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Finding the Third Proportional to 33,228 and 71,996

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Solution

The third proportional to 33,228 and 71,996 is: 155,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,228 : 71,996 = 71,996 : x
  2. Step 2: Convert to fraction form
    33,228/71,996 = 71,996/x
  3. Step 3: Cross multiply
    33,228x = 71,996 × 71,996
  4. Step 4: Simplify right side
    33,228x = 5,183,424,016
  5. Step 5: Solve for x
    x = 5,183,424,016/33,228
  6. Step 6: Final answer
    x = 155,995.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.