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Finding the Third Proportional to 12,838 and 17,268

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Solution

The third proportional to 12,838 and 17,268 is: 23,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838 : 17,268 = 17,268 : x
  2. Step 2: Convert to fraction form
    12,838/17,268 = 17,268/x
  3. Step 3: Cross multiply
    12,838x = 17,268 × 17,268
  4. Step 4: Simplify right side
    12,838x = 298,183,824
  5. Step 5: Solve for x
    x = 298,183,824/12,838
  6. Step 6: Final answer
    x = 23,226.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.