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Finding the Third Proportional to 6,174 and 11,466

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Solution

The third proportional to 6,174 and 11,466 is: 21,294

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174 : 11,466 = 11,466 : x
  2. Step 2: Convert to fraction form
    6,174/11,466 = 11,466/x
  3. Step 3: Cross multiply
    6,174x = 11,466 × 11,466
  4. Step 4: Simplify right side
    6,174x = 131,469,156
  5. Step 5: Solve for x
    x = 131,469,156/6,174
  6. Step 6: Final answer
    x = 21,294

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.