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Finding the Third Proportional to 26,937 and 36,234

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Solution

The third proportional to 26,937 and 36,234 is: 48,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,937 : 36,234 = 36,234 : x
  2. Step 2: Convert to fraction form
    26,937/36,234 = 36,234/x
  3. Step 3: Cross multiply
    26,937x = 36,234 × 36,234
  4. Step 4: Simplify right side
    26,937x = 1,312,902,756
  5. Step 5: Solve for x
    x = 1,312,902,756/26,937
  6. Step 6: Final answer
    x = 48,739.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.