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Finding the Third Proportional to 21,939 and 48,954

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Solution

The third proportional to 21,939 and 48,954 is: 109,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,939 : 48,954 = 48,954 : x
  2. Step 2: Convert to fraction form
    21,939/48,954 = 48,954/x
  3. Step 3: Cross multiply
    21,939x = 48,954 × 48,954
  4. Step 4: Simplify right side
    21,939x = 2,396,494,116
  5. Step 5: Solve for x
    x = 2,396,494,116/21,939
  6. Step 6: Final answer
    x = 109,234.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.