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Finding the Third Proportional to 5,517 and 12,861

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Solution

The third proportional to 5,517 and 12,861 is: 29,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517 : 12,861 = 12,861 : x
  2. Step 2: Convert to fraction form
    5,517/12,861 = 12,861/x
  3. Step 3: Cross multiply
    5,517x = 12,861 × 12,861
  4. Step 4: Simplify right side
    5,517x = 165,405,321
  5. Step 5: Solve for x
    x = 165,405,321/5,517
  6. Step 6: Final answer
    x = 29,981.03

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.