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Finding the Third Proportional to 12,838 and 16,796

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Solution

The third proportional to 12,838 and 16,796 is: 21,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838 : 16,796 = 16,796 : x
  2. Step 2: Convert to fraction form
    12,838/16,796 = 16,796/x
  3. Step 3: Cross multiply
    12,838x = 16,796 × 16,796
  4. Step 4: Simplify right side
    12,838x = 282,105,616
  5. Step 5: Solve for x
    x = 282,105,616/12,838
  6. Step 6: Final answer
    x = 21,974.27

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.