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Finding the Third Proportional to 8,396 and 17,703

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Solution

The third proportional to 8,396 and 17,703 is: 37,326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396 : 17,703 = 17,703 : x
  2. Step 2: Convert to fraction form
    8,396/17,703 = 17,703/x
  3. Step 3: Cross multiply
    8,396x = 17,703 × 17,703
  4. Step 4: Simplify right side
    8,396x = 313,396,209
  5. Step 5: Solve for x
    x = 313,396,209/8,396
  6. Step 6: Final answer
    x = 37,326.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.