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Finding the Third Proportional to 17,568 and 37,204

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Solution

The third proportional to 17,568 and 37,204 is: 78,787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,568 : 37,204 = 37,204 : x
  2. Step 2: Convert to fraction form
    17,568/37,204 = 37,204/x
  3. Step 3: Cross multiply
    17,568x = 37,204 × 37,204
  4. Step 4: Simplify right side
    17,568x = 1,384,137,616
  5. Step 5: Solve for x
    x = 1,384,137,616/17,568
  6. Step 6: Final answer
    x = 78,787.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.