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Finding the Third Proportional to 26,812 and 38,296

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Solution

The third proportional to 26,812 and 38,296 is: 54,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,812 : 38,296 = 38,296 : x
  2. Step 2: Convert to fraction form
    26,812/38,296 = 38,296/x
  3. Step 3: Cross multiply
    26,812x = 38,296 × 38,296
  4. Step 4: Simplify right side
    26,812x = 1,466,583,616
  5. Step 5: Solve for x
    x = 1,466,583,616/26,812
  6. Step 6: Final answer
    x = 54,698.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.