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Finding the Third Proportional to 11,446 and 23,954

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Solution

The third proportional to 11,446 and 23,954 is: 50,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446 : 23,954 = 23,954 : x
  2. Step 2: Convert to fraction form
    11,446/23,954 = 23,954/x
  3. Step 3: Cross multiply
    11,446x = 23,954 × 23,954
  4. Step 4: Simplify right side
    11,446x = 573,794,116
  5. Step 5: Solve for x
    x = 573,794,116/11,446
  6. Step 6: Final answer
    x = 50,130.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.