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Finding the Third Proportional to 11,334 and 20,805

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Solution

The third proportional to 11,334 and 20,805 is: 38,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,334 : 20,805 = 20,805 : x
  2. Step 2: Convert to fraction form
    11,334/20,805 = 20,805/x
  3. Step 3: Cross multiply
    11,334x = 20,805 × 20,805
  4. Step 4: Simplify right side
    11,334x = 432,848,025
  5. Step 5: Solve for x
    x = 432,848,025/11,334
  6. Step 6: Final answer
    x = 38,190.23

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.