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Finding the Third Proportional to 6,834 and 11,466

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Solution

The third proportional to 6,834 and 11,466 is: 19,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834 : 11,466 = 11,466 : x
  2. Step 2: Convert to fraction form
    6,834/11,466 = 11,466/x
  3. Step 3: Cross multiply
    6,834x = 11,466 × 11,466
  4. Step 4: Simplify right side
    6,834x = 131,469,156
  5. Step 5: Solve for x
    x = 131,469,156/6,834
  6. Step 6: Final answer
    x = 19,237.51

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.