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Finding the Third Proportional to 19,941 and 30,965

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Solution

The third proportional to 19,941 and 30,965 is: 48,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,941 : 30,965 = 30,965 : x
  2. Step 2: Convert to fraction form
    19,941/30,965 = 30,965/x
  3. Step 3: Cross multiply
    19,941x = 30,965 × 30,965
  4. Step 4: Simplify right side
    19,941x = 958,831,225
  5. Step 5: Solve for x
    x = 958,831,225/19,941
  6. Step 6: Final answer
    x = 48,083.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.