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Finding the Third Proportional to 8,024 and 17,204

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Solution

The third proportional to 8,024 and 17,204 is: 36,886.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024 : 17,204 = 17,204 : x
  2. Step 2: Convert to fraction form
    8,024/17,204 = 17,204/x
  3. Step 3: Cross multiply
    8,024x = 17,204 × 17,204
  4. Step 4: Simplify right side
    8,024x = 295,977,616
  5. Step 5: Solve for x
    x = 295,977,616/8,024
  6. Step 6: Final answer
    x = 36,886.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.