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Finding the Third Proportional to 19,942 and 41,950

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Solution

The third proportional to 19,942 and 41,950 is: 88,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,942 : 41,950 = 41,950 : x
  2. Step 2: Convert to fraction form
    19,942/41,950 = 41,950/x
  3. Step 3: Cross multiply
    19,942x = 41,950 × 41,950
  4. Step 4: Simplify right side
    19,942x = 1,759,802,500
  5. Step 5: Solve for x
    x = 1,759,802,500/19,942
  6. Step 6: Final answer
    x = 88,246.04

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