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Finding the Third Proportional to 33,654 and 73,836

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Solution

The third proportional to 33,654 and 73,836 is: 161,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,654 : 73,836 = 73,836 : x
  2. Step 2: Convert to fraction form
    33,654/73,836 = 73,836/x
  3. Step 3: Cross multiply
    33,654x = 73,836 × 73,836
  4. Step 4: Simplify right side
    33,654x = 5,451,754,896
  5. Step 5: Solve for x
    x = 5,451,754,896/33,654
  6. Step 6: Final answer
    x = 161,994.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.