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Finding the Third Proportional to 33,055 and 72,671

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Solution

The third proportional to 33,055 and 72,671 is: 159,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,055 : 72,671 = 72,671 : x
  2. Step 2: Convert to fraction form
    33,055/72,671 = 72,671/x
  3. Step 3: Cross multiply
    33,055x = 72,671 × 72,671
  4. Step 4: Simplify right side
    33,055x = 5,281,074,241
  5. Step 5: Solve for x
    x = 5,281,074,241/33,055
  6. Step 6: Final answer
    x = 159,766.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.