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Finding the Third Proportional to 19,936 and 30,996

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Solution

The third proportional to 19,936 and 30,996 is: 48,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,936 : 30,996 = 30,996 : x
  2. Step 2: Convert to fraction form
    19,936/30,996 = 30,996/x
  3. Step 3: Cross multiply
    19,936x = 30,996 × 30,996
  4. Step 4: Simplify right side
    19,936x = 960,752,016
  5. Step 5: Solve for x
    x = 960,752,016/19,936
  6. Step 6: Final answer
    x = 48,191.81

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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.