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Finding the Third Proportional to 8,006 and 17,396

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Solution

The third proportional to 8,006 and 17,396 is: 37,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006 : 17,396 = 17,396 : x
  2. Step 2: Convert to fraction form
    8,006/17,396 = 17,396/x
  3. Step 3: Cross multiply
    8,006x = 17,396 × 17,396
  4. Step 4: Simplify right side
    8,006x = 302,620,816
  5. Step 5: Solve for x
    x = 302,620,816/8,006
  6. Step 6: Final answer
    x = 37,799.25

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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.