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Finding the Third Proportional to 33,966 and 68,848

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Solution

The third proportional to 33,966 and 68,848 is: 139,552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,966 : 68,848 = 68,848 : x
  2. Step 2: Convert to fraction form
    33,966/68,848 = 68,848/x
  3. Step 3: Cross multiply
    33,966x = 68,848 × 68,848
  4. Step 4: Simplify right side
    33,966x = 4,740,047,104
  5. Step 5: Solve for x
    x = 4,740,047,104/33,966
  6. Step 6: Final answer
    x = 139,552.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.