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Finding the Third Proportional to 17,880 and 27,204

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Solution

The third proportional to 17,880 and 27,204 is: 41,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880 : 27,204 = 27,204 : x
  2. Step 2: Convert to fraction form
    17,880/27,204 = 27,204/x
  3. Step 3: Cross multiply
    17,880x = 27,204 × 27,204
  4. Step 4: Simplify right side
    17,880x = 740,057,616
  5. Step 5: Solve for x
    x = 740,057,616/17,880
  6. Step 6: Final answer
    x = 41,390.25

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Why These Related Problems?

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