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Finding the Third Proportional to 13,891 and 20,838

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Solution

The third proportional to 13,891 and 20,838 is: 31,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891 : 20,838 = 20,838 : x
  2. Step 2: Convert to fraction form
    13,891/20,838 = 20,838/x
  3. Step 3: Cross multiply
    13,891x = 20,838 × 20,838
  4. Step 4: Simplify right side
    13,891x = 434,222,244
  5. Step 5: Solve for x
    x = 434,222,244/13,891
  6. Step 6: Final answer
    x = 31,259.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.