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Finding the Third Proportional to 11,723 and 23,881

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Solution

The third proportional to 11,723 and 23,881 is: 48,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723 : 23,881 = 23,881 : x
  2. Step 2: Convert to fraction form
    11,723/23,881 = 23,881/x
  3. Step 3: Cross multiply
    11,723x = 23,881 × 23,881
  4. Step 4: Simplify right side
    11,723x = 570,302,161
  5. Step 5: Solve for x
    x = 570,302,161/11,723
  6. Step 6: Final answer
    x = 48,648.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.