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Finding the Third Proportional to 33,778 and 72,790

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Solution

The third proportional to 33,778 and 72,790 is: 156,859.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,778 : 72,790 = 72,790 : x
  2. Step 2: Convert to fraction form
    33,778/72,790 = 72,790/x
  3. Step 3: Cross multiply
    33,778x = 72,790 × 72,790
  4. Step 4: Simplify right side
    33,778x = 5,298,384,100
  5. Step 5: Solve for x
    x = 5,298,384,100/33,778
  6. Step 6: Final answer
    x = 156,859.02

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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.