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Finding the Third Proportional to 26,839 and 36,446.50

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Solution

The third proportional to 26,839 and 36,446.50 is: 49,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,839 : 36,446.50 = 36,446.50 : x
  2. Step 2: Convert to fraction form
    26,839/36,446.50 = 36,446.50/x
  3. Step 3: Cross multiply
    26,839x = 36,446.50 × 36,446.50
  4. Step 4: Simplify right side
    26,839x = 1,328,347,362.25
  5. Step 5: Solve for x
    x = 1,328,347,362.25/26,839
  6. Step 6: Final answer
    x = 49,493.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.