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Finding the Third Proportional to 8,204 and 17,644

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Solution

The third proportional to 8,204 and 17,644 is: 37,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204 : 17,644 = 17,644 : x
  2. Step 2: Convert to fraction form
    8,204/17,644 = 17,644/x
  3. Step 3: Cross multiply
    8,204x = 17,644 × 17,644
  4. Step 4: Simplify right side
    8,204x = 311,310,736
  5. Step 5: Solve for x
    x = 311,310,736/8,204
  6. Step 6: Final answer
    x = 37,946.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.