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Finding the Third Proportional to 11,517 and 23,844

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Solution

The third proportional to 11,517 and 23,844 is: 49,364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517 : 23,844 = 23,844 : x
  2. Step 2: Convert to fraction form
    11,517/23,844 = 23,844/x
  3. Step 3: Cross multiply
    11,517x = 23,844 × 23,844
  4. Step 4: Simplify right side
    11,517x = 568,536,336
  5. Step 5: Solve for x
    x = 568,536,336/11,517
  6. Step 6: Final answer
    x = 49,364.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.