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Finding the Third Proportional to 21,244 and 31,874

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Solution

The third proportional to 21,244 and 31,874 is: 47,823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,244 : 31,874 = 31,874 : x
  2. Step 2: Convert to fraction form
    21,244/31,874 = 31,874/x
  3. Step 3: Cross multiply
    21,244x = 31,874 × 31,874
  4. Step 4: Simplify right side
    21,244x = 1,015,951,876
  5. Step 5: Solve for x
    x = 1,015,951,876/21,244
  6. Step 6: Final answer
    x = 47,823.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.