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Finding the Third Proportional to 13,856 and 16,268

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Solution

The third proportional to 13,856 and 16,268 is: 19,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856 : 16,268 = 16,268 : x
  2. Step 2: Convert to fraction form
    13,856/16,268 = 16,268/x
  3. Step 3: Cross multiply
    13,856x = 16,268 × 16,268
  4. Step 4: Simplify right side
    13,856x = 264,647,824
  5. Step 5: Solve for x
    x = 264,647,824/13,856
  6. Step 6: Final answer
    x = 19,099.87

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.