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Finding the Third Proportional to 8,206 and 17,828

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Solution

The third proportional to 8,206 and 17,828 is: 38,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206 : 17,828 = 17,828 : x
  2. Step 2: Convert to fraction form
    8,206/17,828 = 17,828/x
  3. Step 3: Cross multiply
    8,206x = 17,828 × 17,828
  4. Step 4: Simplify right side
    8,206x = 317,837,584
  5. Step 5: Solve for x
    x = 317,837,584/8,206
  6. Step 6: Final answer
    x = 38,732.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.