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Finding the Third Proportional to 33,484.50 and 49,074.75

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Solution

The third proportional to 33,484.50 and 49,074.75 is: 71,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,484.50 : 49,074.75 = 49,074.75 : x
  2. Step 2: Convert to fraction form
    33,484.50/49,074.75 = 49,074.75/x
  3. Step 3: Cross multiply
    33,484.50x = 49,074.75 × 49,074.75
  4. Step 4: Simplify right side
    33,484.50x = 2,408,331,087.56
  5. Step 5: Solve for x
    x = 2,408,331,087.56/33,484.50
  6. Step 6: Final answer
    x = 71,923.76

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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.