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Finding the Third Proportional to 33,094 and 49,945

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Solution

The third proportional to 33,094 and 49,945 is: 75,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,094 : 49,945 = 49,945 : x
  2. Step 2: Convert to fraction form
    33,094/49,945 = 49,945/x
  3. Step 3: Cross multiply
    33,094x = 49,945 × 49,945
  4. Step 4: Simplify right side
    33,094x = 2,494,503,025
  5. Step 5: Solve for x
    x = 2,494,503,025/33,094
  6. Step 6: Final answer
    x = 75,376.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.