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Finding the Third Proportional to 24,116 and 33,204

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Solution

The third proportional to 24,116 and 33,204 is: 45,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,116 : 33,204 = 33,204 : x
  2. Step 2: Convert to fraction form
    24,116/33,204 = 33,204/x
  3. Step 3: Cross multiply
    24,116x = 33,204 × 33,204
  4. Step 4: Simplify right side
    24,116x = 1,102,505,616
  5. Step 5: Solve for x
    x = 1,102,505,616/24,116
  6. Step 6: Final answer
    x = 45,716.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.