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Finding the Third Proportional to 21,885 and 33,028

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Solution

The third proportional to 21,885 and 33,028 is: 49,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,885 : 33,028 = 33,028 : x
  2. Step 2: Convert to fraction form
    21,885/33,028 = 33,028/x
  3. Step 3: Cross multiply
    21,885x = 33,028 × 33,028
  4. Step 4: Simplify right side
    21,885x = 1,090,848,784
  5. Step 5: Solve for x
    x = 1,090,848,784/21,885
  6. Step 6: Final answer
    x = 49,844.59

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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.