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Finding the Third Proportional to 8,275 and 17,401

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Solution

The third proportional to 8,275 and 17,401 is: 36,591.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275 : 17,401 = 17,401 : x
  2. Step 2: Convert to fraction form
    8,275/17,401 = 17,401/x
  3. Step 3: Cross multiply
    8,275x = 17,401 × 17,401
  4. Step 4: Simplify right side
    8,275x = 302,794,801
  5. Step 5: Solve for x
    x = 302,794,801/8,275
  6. Step 6: Final answer
    x = 36,591.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.