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Finding the Third Proportional to 33,618 and 73,374

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Solution

The third proportional to 33,618 and 73,374 is: 160,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,618 : 73,374 = 73,374 : x
  2. Step 2: Convert to fraction form
    33,618/73,374 = 73,374/x
  3. Step 3: Cross multiply
    33,618x = 73,374 × 73,374
  4. Step 4: Simplify right side
    33,618x = 5,383,743,876
  5. Step 5: Solve for x
    x = 5,383,743,876/33,618
  6. Step 6: Final answer
    x = 160,144.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.