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Finding the Third Proportional to 33,918 and 51,885

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Solution

The third proportional to 33,918 and 51,885 is: 79,369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,918 : 51,885 = 51,885 : x
  2. Step 2: Convert to fraction form
    33,918/51,885 = 51,885/x
  3. Step 3: Cross multiply
    33,918x = 51,885 × 51,885
  4. Step 4: Simplify right side
    33,918x = 2,692,053,225
  5. Step 5: Solve for x
    x = 2,692,053,225/33,918
  6. Step 6: Final answer
    x = 79,369.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.