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Finding the Third Proportional to 13,885 and 20,818

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Solution

The third proportional to 13,885 and 20,818 is: 31,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885 : 20,818 = 20,818 : x
  2. Step 2: Convert to fraction form
    13,885/20,818 = 20,818/x
  3. Step 3: Cross multiply
    13,885x = 20,818 × 20,818
  4. Step 4: Simplify right side
    13,885x = 433,389,124
  5. Step 5: Solve for x
    x = 433,389,124/13,885
  6. Step 6: Final answer
    x = 31,212.76

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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.