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Finding the Third Proportional to 33,912 and 52,936

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Solution

The third proportional to 33,912 and 52,936 is: 82,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,912 : 52,936 = 52,936 : x
  2. Step 2: Convert to fraction form
    33,912/52,936 = 52,936/x
  3. Step 3: Cross multiply
    33,912x = 52,936 × 52,936
  4. Step 4: Simplify right side
    33,912x = 2,802,220,096
  5. Step 5: Solve for x
    x = 2,802,220,096/33,912
  6. Step 6: Final answer
    x = 82,632.11

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.