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Finding the Third Proportional to 23,733 and 54,954

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Solution

The third proportional to 23,733 and 54,954 is: 127,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,733 : 54,954 = 54,954 : x
  2. Step 2: Convert to fraction form
    23,733/54,954 = 54,954/x
  3. Step 3: Cross multiply
    23,733x = 54,954 × 54,954
  4. Step 4: Simplify right side
    23,733x = 3,019,942,116
  5. Step 5: Solve for x
    x = 3,019,942,116/23,733
  6. Step 6: Final answer
    x = 127,246.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.