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Finding the Third Proportional to 33,963 and 74,838

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Solution

The third proportional to 33,963 and 74,838 is: 164,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,963 : 74,838 = 74,838 : x
  2. Step 2: Convert to fraction form
    33,963/74,838 = 74,838/x
  3. Step 3: Cross multiply
    33,963x = 74,838 × 74,838
  4. Step 4: Simplify right side
    33,963x = 5,600,726,244
  5. Step 5: Solve for x
    x = 5,600,726,244/33,963
  6. Step 6: Final answer
    x = 164,906.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.