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Finding the Third Proportional to 21,904 and 33,398

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Solution

The third proportional to 21,904 and 33,398 is: 50,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,904 : 33,398 = 33,398 : x
  2. Step 2: Convert to fraction form
    21,904/33,398 = 33,398/x
  3. Step 3: Cross multiply
    21,904x = 33,398 × 33,398
  4. Step 4: Simplify right side
    21,904x = 1,115,426,404
  5. Step 5: Solve for x
    x = 1,115,426,404/21,904
  6. Step 6: Final answer
    x = 50,923.41

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