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Finding the Third Proportional to 5,474 and 12,851

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Solution

The third proportional to 5,474 and 12,851 is: 30,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474 : 12,851 = 12,851 : x
  2. Step 2: Convert to fraction form
    5,474/12,851 = 12,851/x
  3. Step 3: Cross multiply
    5,474x = 12,851 × 12,851
  4. Step 4: Simplify right side
    5,474x = 165,148,201
  5. Step 5: Solve for x
    x = 165,148,201/5,474
  6. Step 6: Final answer
    x = 30,169.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.