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Finding the Third Proportional to 12,826 and 27,974

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Solution

The third proportional to 12,826 and 27,974 is: 61,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826 : 27,974 = 27,974 : x
  2. Step 2: Convert to fraction form
    12,826/27,974 = 27,974/x
  3. Step 3: Cross multiply
    12,826x = 27,974 × 27,974
  4. Step 4: Simplify right side
    12,826x = 782,544,676
  5. Step 5: Solve for x
    x = 782,544,676/12,826
  6. Step 6: Final answer
    x = 61,012.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.