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Finding the Third Proportional to 13,649 and 20,837

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Solution

The third proportional to 13,649 and 20,837 is: 31,810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649 : 20,837 = 20,837 : x
  2. Step 2: Convert to fraction form
    13,649/20,837 = 20,837/x
  3. Step 3: Cross multiply
    13,649x = 20,837 × 20,837
  4. Step 4: Simplify right side
    13,649x = 434,180,569
  5. Step 5: Solve for x
    x = 434,180,569/13,649
  6. Step 6: Final answer
    x = 31,810.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.