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Finding the Third Proportional to 11,165 and 24,256

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Solution

The third proportional to 11,165 and 24,256 is: 52,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165 : 24,256 = 24,256 : x
  2. Step 2: Convert to fraction form
    11,165/24,256 = 24,256/x
  3. Step 3: Cross multiply
    11,165x = 24,256 × 24,256
  4. Step 4: Simplify right side
    11,165x = 588,353,536
  5. Step 5: Solve for x
    x = 588,353,536/11,165
  6. Step 6: Final answer
    x = 52,696.24

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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.