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Finding the Third Proportional to 33,861 and 50,596.50

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Solution

The third proportional to 33,861 and 50,596.50 is: 75,603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,861 : 50,596.50 = 50,596.50 : x
  2. Step 2: Convert to fraction form
    33,861/50,596.50 = 50,596.50/x
  3. Step 3: Cross multiply
    33,861x = 50,596.50 × 50,596.50
  4. Step 4: Simplify right side
    33,861x = 2,560,005,812.25
  5. Step 5: Solve for x
    x = 2,560,005,812.25/33,861
  6. Step 6: Final answer
    x = 75,603.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.