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Finding the Third Proportional to 13,806 and 20,811

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Solution

The third proportional to 13,806 and 20,811 is: 31,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806 : 20,811 = 20,811 : x
  2. Step 2: Convert to fraction form
    13,806/20,811 = 20,811/x
  3. Step 3: Cross multiply
    13,806x = 20,811 × 20,811
  4. Step 4: Simplify right side
    13,806x = 433,097,721
  5. Step 5: Solve for x
    x = 433,097,721/13,806
  6. Step 6: Final answer
    x = 31,370.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.