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Finding the Third Proportional to 13,921 and 30,843

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Solution

The third proportional to 13,921 and 30,843 is: 68,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921 : 30,843 = 30,843 : x
  2. Step 2: Convert to fraction form
    13,921/30,843 = 30,843/x
  3. Step 3: Cross multiply
    13,921x = 30,843 × 30,843
  4. Step 4: Simplify right side
    13,921x = 951,290,649
  5. Step 5: Solve for x
    x = 951,290,649/13,921
  6. Step 6: Final answer
    x = 68,334.94

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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.