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Finding the Third Proportional to 19,954 and 41,974

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Solution

The third proportional to 19,954 and 41,974 is: 88,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,954 : 41,974 = 41,974 : x
  2. Step 2: Convert to fraction form
    19,954/41,974 = 41,974/x
  3. Step 3: Cross multiply
    19,954x = 41,974 × 41,974
  4. Step 4: Simplify right side
    19,954x = 1,761,816,676
  5. Step 5: Solve for x
    x = 1,761,816,676/19,954
  6. Step 6: Final answer
    x = 88,293.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.