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Finding the Third Proportional to 33,869 and 77,894

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Solution

The third proportional to 33,869 and 77,894 is: 179,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,869 : 77,894 = 77,894 : x
  2. Step 2: Convert to fraction form
    33,869/77,894 = 77,894/x
  3. Step 3: Cross multiply
    33,869x = 77,894 × 77,894
  4. Step 4: Simplify right side
    33,869x = 6,067,475,236
  5. Step 5: Solve for x
    x = 6,067,475,236/33,869
  6. Step 6: Final answer
    x = 179,145.39

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.