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Finding the Third Proportional to 26,815.50 and 36,801

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Solution

The third proportional to 26,815.50 and 36,801 is: 50,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,815.50 : 36,801 = 36,801 : x
  2. Step 2: Convert to fraction form
    26,815.50/36,801 = 36,801/x
  3. Step 3: Cross multiply
    26,815.50x = 36,801 × 36,801
  4. Step 4: Simplify right side
    26,815.50x = 1,354,313,601
  5. Step 5: Solve for x
    x = 1,354,313,601/26,815.50
  6. Step 6: Final answer
    x = 50,504.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.