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Finding the Third Proportional to 22,694 and 33,904

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Solution

The third proportional to 22,694 and 33,904 is: 50,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,694 : 33,904 = 33,904 : x
  2. Step 2: Convert to fraction form
    22,694/33,904 = 33,904/x
  3. Step 3: Cross multiply
    22,694x = 33,904 × 33,904
  4. Step 4: Simplify right side
    22,694x = 1,149,481,216
  5. Step 5: Solve for x
    x = 1,149,481,216/22,694
  6. Step 6: Final answer
    x = 50,651.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.