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Finding the Third Proportional to 21,894 and 33,204

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Solution

The third proportional to 21,894 and 33,204 is: 50,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894 : 33,204 = 33,204 : x
  2. Step 2: Convert to fraction form
    21,894/33,204 = 33,204/x
  3. Step 3: Cross multiply
    21,894x = 33,204 × 33,204
  4. Step 4: Simplify right side
    21,894x = 1,102,505,616
  5. Step 5: Solve for x
    x = 1,102,505,616/21,894
  6. Step 6: Final answer
    x = 50,356.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.