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Finding the Third Proportional to 11,834 and 18,563

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Solution

The third proportional to 11,834 and 18,563 is: 29,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834 : 18,563 = 18,563 : x
  2. Step 2: Convert to fraction form
    11,834/18,563 = 18,563/x
  3. Step 3: Cross multiply
    11,834x = 18,563 × 18,563
  4. Step 4: Simplify right side
    11,834x = 344,584,969
  5. Step 5: Solve for x
    x = 344,584,969/11,834
  6. Step 6: Final answer
    x = 29,118.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.