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Finding the Third Proportional to 11,743 and 25,663

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Solution

The third proportional to 11,743 and 25,663 is: 56,083.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743 : 25,663 = 25,663 : x
  2. Step 2: Convert to fraction form
    11,743/25,663 = 25,663/x
  3. Step 3: Cross multiply
    11,743x = 25,663 × 25,663
  4. Step 4: Simplify right side
    11,743x = 658,589,569
  5. Step 5: Solve for x
    x = 658,589,569/11,743
  6. Step 6: Final answer
    x = 56,083.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.