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Finding the Third Proportional to 33,198.75 and 49,924.13

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Solution

The third proportional to 33,198.75 and 49,924.13 is: 75,075.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,198.75 : 49,924.13 = 49,924.13 : x
  2. Step 2: Convert to fraction form
    33,198.75/49,924.13 = 49,924.13/x
  3. Step 3: Cross multiply
    33,198.75x = 49,924.13 × 49,924.13
  4. Step 4: Simplify right side
    33,198.75x = 2,492,418,257.02
  5. Step 5: Solve for x
    x = 2,492,418,257.02/33,198.75
  6. Step 6: Final answer
    x = 75,075.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.