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Finding the Third Proportional to 13,832 and 20,657

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Solution

The third proportional to 13,832 and 20,657 is: 30,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832 : 20,657 = 20,657 : x
  2. Step 2: Convert to fraction form
    13,832/20,657 = 20,657/x
  3. Step 3: Cross multiply
    13,832x = 20,657 × 20,657
  4. Step 4: Simplify right side
    13,832x = 426,711,649
  5. Step 5: Solve for x
    x = 426,711,649/13,832
  6. Step 6: Final answer
    x = 30,849.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.