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Finding the Third Proportional to 12,826 and 18,941

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Solution

The third proportional to 12,826 and 18,941 is: 27,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826 : 18,941 = 18,941 : x
  2. Step 2: Convert to fraction form
    12,826/18,941 = 18,941/x
  3. Step 3: Cross multiply
    12,826x = 18,941 × 18,941
  4. Step 4: Simplify right side
    12,826x = 358,761,481
  5. Step 5: Solve for x
    x = 358,761,481/12,826
  6. Step 6: Final answer
    x = 27,971.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.