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Finding the Third Proportional to 33,072 and 49,906

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Solution

The third proportional to 33,072 and 49,906 is: 75,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,072 : 49,906 = 49,906 : x
  2. Step 2: Convert to fraction form
    33,072/49,906 = 49,906/x
  3. Step 3: Cross multiply
    33,072x = 49,906 × 49,906
  4. Step 4: Simplify right side
    33,072x = 2,490,608,836
  5. Step 5: Solve for x
    x = 2,490,608,836/33,072
  6. Step 6: Final answer
    x = 75,308.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.