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Finding the Third Proportional to 16,204 and 39,412

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Solution

The third proportional to 16,204 and 39,412 is: 95,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204 : 39,412 = 39,412 : x
  2. Step 2: Convert to fraction form
    16,204/39,412 = 39,412/x
  3. Step 3: Cross multiply
    16,204x = 39,412 × 39,412
  4. Step 4: Simplify right side
    16,204x = 1,553,305,744
  5. Step 5: Solve for x
    x = 1,553,305,744/16,204
  6. Step 6: Final answer
    x = 95,859.40

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.