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Finding the Third Proportional to 21,342 and 33,204

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Solution

The third proportional to 21,342 and 33,204 is: 51,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342 : 33,204 = 33,204 : x
  2. Step 2: Convert to fraction form
    21,342/33,204 = 33,204/x
  3. Step 3: Cross multiply
    21,342x = 33,204 × 33,204
  4. Step 4: Simplify right side
    21,342x = 1,102,505,616
  5. Step 5: Solve for x
    x = 1,102,505,616/21,342
  6. Step 6: Final answer
    x = 51,658.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.