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Finding the Third Proportional to 11,511 and 23,841

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Solution

The third proportional to 11,511 and 23,841 is: 49,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511 : 23,841 = 23,841 : x
  2. Step 2: Convert to fraction form
    11,511/23,841 = 23,841/x
  3. Step 3: Cross multiply
    11,511x = 23,841 × 23,841
  4. Step 4: Simplify right side
    11,511x = 568,393,281
  5. Step 5: Solve for x
    x = 568,393,281/11,511
  6. Step 6: Final answer
    x = 49,378.27

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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.