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Finding the Third Proportional to 13,517 and 20,846

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Solution

The third proportional to 13,517 and 20,846 is: 32,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517 : 20,846 = 20,846 : x
  2. Step 2: Convert to fraction form
    13,517/20,846 = 20,846/x
  3. Step 3: Cross multiply
    13,517x = 20,846 × 20,846
  4. Step 4: Simplify right side
    13,517x = 434,555,716
  5. Step 5: Solve for x
    x = 434,555,716/13,517
  6. Step 6: Final answer
    x = 32,148.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.