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Finding the Third Proportional to 13,743 and 20,677

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Solution

The third proportional to 13,743 and 20,677 is: 31,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743 : 20,677 = 20,677 : x
  2. Step 2: Convert to fraction form
    13,743/20,677 = 20,677/x
  3. Step 3: Cross multiply
    13,743x = 20,677 × 20,677
  4. Step 4: Simplify right side
    13,743x = 427,538,329
  5. Step 5: Solve for x
    x = 427,538,329/13,743
  6. Step 6: Final answer
    x = 31,109.53

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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.