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Finding the Third Proportional to 27,511 and 41,324

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Solution

The third proportional to 27,511 and 41,324 is: 62,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,511 : 41,324 = 41,324 : x
  2. Step 2: Convert to fraction form
    27,511/41,324 = 41,324/x
  3. Step 3: Cross multiply
    27,511x = 41,324 × 41,324
  4. Step 4: Simplify right side
    27,511x = 1,707,672,976
  5. Step 5: Solve for x
    x = 1,707,672,976/27,511
  6. Step 6: Final answer
    x = 62,072.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.