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Finding the Third Proportional to 33,399 and 49,099.50

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Solution

The third proportional to 33,399 and 49,099.50 is: 72,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,399 : 49,099.50 = 49,099.50 : x
  2. Step 2: Convert to fraction form
    33,399/49,099.50 = 49,099.50/x
  3. Step 3: Cross multiply
    33,399x = 49,099.50 × 49,099.50
  4. Step 4: Simplify right side
    33,399x = 2,410,760,900.25
  5. Step 5: Solve for x
    x = 2,410,760,900.25/33,399
  6. Step 6: Final answer
    x = 72,180.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.