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Finding the Third Proportional to 10,874 and 16,268

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Solution

The third proportional to 10,874 and 16,268 is: 24,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874 : 16,268 = 16,268 : x
  2. Step 2: Convert to fraction form
    10,874/16,268 = 16,268/x
  3. Step 3: Cross multiply
    10,874x = 16,268 × 16,268
  4. Step 4: Simplify right side
    10,874x = 264,647,824
  5. Step 5: Solve for x
    x = 264,647,824/10,874
  6. Step 6: Final answer
    x = 24,337.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.