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Finding the Third Proportional to 33,723.84 and 73,408.78

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Solution

The third proportional to 33,723.84 and 73,408.78 is: 159,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,723.84 : 73,408.78 = 73,408.78 : x
  2. Step 2: Convert to fraction form
    33,723.84/73,408.78 = 73,408.78/x
  3. Step 3: Cross multiply
    33,723.84x = 73,408.78 × 73,408.78
  4. Step 4: Simplify right side
    33,723.84x = 5,388,849,164.61
  5. Step 5: Solve for x
    x = 5,388,849,164.61/33,723.84
  6. Step 6: Final answer
    x = 159,793.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.