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Finding the Third Proportional to 5,601 and 11,663

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Solution

The third proportional to 5,601 and 11,663 is: 24,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601 : 11,663 = 11,663 : x
  2. Step 2: Convert to fraction form
    5,601/11,663 = 11,663/x
  3. Step 3: Cross multiply
    5,601x = 11,663 × 11,663
  4. Step 4: Simplify right side
    5,601x = 136,025,569
  5. Step 5: Solve for x
    x = 136,025,569/5,601
  6. Step 6: Final answer
    x = 24,285.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.