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Finding the Third Proportional to 8,517 and 11,728

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Solution

The third proportional to 8,517 and 11,728 is: 16,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517 : 11,728 = 11,728 : x
  2. Step 2: Convert to fraction form
    8,517/11,728 = 11,728/x
  3. Step 3: Cross multiply
    8,517x = 11,728 × 11,728
  4. Step 4: Simplify right side
    8,517x = 137,545,984
  5. Step 5: Solve for x
    x = 137,545,984/8,517
  6. Step 6: Final answer
    x = 16,149.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.