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Finding the Third Proportional to 33,052.75 and 67,865.34

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Solution

The third proportional to 33,052.75 and 67,865.34 is: 139,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,052.75 : 67,865.34 = 67,865.34 : x
  2. Step 2: Convert to fraction form
    33,052.75/67,865.34 = 67,865.34/x
  3. Step 3: Cross multiply
    33,052.75x = 67,865.34 × 67,865.34
  4. Step 4: Simplify right side
    33,052.75x = 4,605,704,882.31
  5. Step 5: Solve for x
    x = 4,605,704,882.31/33,052.75
  6. Step 6: Final answer
    x = 139,344.09

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.