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Finding the Third Proportional to 11,366 and 24,311

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Solution

The third proportional to 11,366 and 24,311 is: 51,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,366 : 24,311 = 24,311 : x
  2. Step 2: Convert to fraction form
    11,366/24,311 = 24,311/x
  3. Step 3: Cross multiply
    11,366x = 24,311 × 24,311
  4. Step 4: Simplify right side
    11,366x = 591,024,721
  5. Step 5: Solve for x
    x = 591,024,721/11,366
  6. Step 6: Final answer
    x = 51,999.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.