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Finding the Third Proportional to 5,286 and 11,384

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Solution

The third proportional to 5,286 and 11,384 is: 24,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286 : 11,384 = 11,384 : x
  2. Step 2: Convert to fraction form
    5,286/11,384 = 11,384/x
  3. Step 3: Cross multiply
    5,286x = 11,384 × 11,384
  4. Step 4: Simplify right side
    5,286x = 129,595,456
  5. Step 5: Solve for x
    x = 129,595,456/5,286
  6. Step 6: Final answer
    x = 24,516.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.