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Finding the Third Proportional to 33,408.50 and 51,372.50

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Solution

The third proportional to 33,408.50 and 51,372.50 is: 78,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,408.50 : 51,372.50 = 51,372.50 : x
  2. Step 2: Convert to fraction form
    33,408.50/51,372.50 = 51,372.50/x
  3. Step 3: Cross multiply
    33,408.50x = 51,372.50 × 51,372.50
  4. Step 4: Simplify right side
    33,408.50x = 2,639,133,756.25
  5. Step 5: Solve for x
    x = 2,639,133,756.25/33,408.50
  6. Step 6: Final answer
    x = 78,995.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.