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Finding the Third Proportional to 16,108 and 18,268

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Solution

The third proportional to 16,108 and 18,268 is: 20,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,108 : 18,268 = 18,268 : x
  2. Step 2: Convert to fraction form
    16,108/18,268 = 18,268/x
  3. Step 3: Cross multiply
    16,108x = 18,268 × 18,268
  4. Step 4: Simplify right side
    16,108x = 333,719,824
  5. Step 5: Solve for x
    x = 333,719,824/16,108
  6. Step 6: Final answer
    x = 20,717.64

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.