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Finding the Third Proportional to 8,084 and 17,132

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Solution

The third proportional to 8,084 and 17,132 is: 36,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084 : 17,132 = 17,132 : x
  2. Step 2: Convert to fraction form
    8,084/17,132 = 17,132/x
  3. Step 3: Cross multiply
    8,084x = 17,132 × 17,132
  4. Step 4: Simplify right side
    8,084x = 293,505,424
  5. Step 5: Solve for x
    x = 293,505,424/8,084
  6. Step 6: Final answer
    x = 36,306.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.