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Finding the Third Proportional to 7,837 and 16,885

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Solution

The third proportional to 7,837 and 16,885 is: 36,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837 : 16,885 = 16,885 : x
  2. Step 2: Convert to fraction form
    7,837/16,885 = 16,885/x
  3. Step 3: Cross multiply
    7,837x = 16,885 × 16,885
  4. Step 4: Simplify right side
    7,837x = 285,103,225
  5. Step 5: Solve for x
    x = 285,103,225/7,837
  6. Step 6: Final answer
    x = 36,379.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.