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Finding the Third Proportional to 33,843 and 74,250

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Solution

The third proportional to 33,843 and 74,250 is: 162,901.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,843 : 74,250 = 74,250 : x
  2. Step 2: Convert to fraction form
    33,843/74,250 = 74,250/x
  3. Step 3: Cross multiply
    33,843x = 74,250 × 74,250
  4. Step 4: Simplify right side
    33,843x = 5,513,062,500
  5. Step 5: Solve for x
    x = 5,513,062,500/33,843
  6. Step 6: Final answer
    x = 162,901.12

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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.