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Finding the Third Proportional to 5,192 and 11,257

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Solution

The third proportional to 5,192 and 11,257 is: 24,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192 : 11,257 = 11,257 : x
  2. Step 2: Convert to fraction form
    5,192/11,257 = 11,257/x
  3. Step 3: Cross multiply
    5,192x = 11,257 × 11,257
  4. Step 4: Simplify right side
    5,192x = 126,720,049
  5. Step 5: Solve for x
    x = 126,720,049/5,192
  6. Step 6: Final answer
    x = 24,406.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.