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Finding the Third Proportional to 11,805 and 26,234

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Solution

The third proportional to 11,805 and 26,234 is: 58,299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805 : 26,234 = 26,234 : x
  2. Step 2: Convert to fraction form
    11,805/26,234 = 26,234/x
  3. Step 3: Cross multiply
    11,805x = 26,234 × 26,234
  4. Step 4: Simplify right side
    11,805x = 688,222,756
  5. Step 5: Solve for x
    x = 688,222,756/11,805
  6. Step 6: Final answer
    x = 58,299.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.