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Finding the Third Proportional to 19,991 and 44,005

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Solution

The third proportional to 19,991 and 44,005 is: 96,865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,991 : 44,005 = 44,005 : x
  2. Step 2: Convert to fraction form
    19,991/44,005 = 44,005/x
  3. Step 3: Cross multiply
    19,991x = 44,005 × 44,005
  4. Step 4: Simplify right side
    19,991x = 1,936,440,025
  5. Step 5: Solve for x
    x = 1,936,440,025/19,991
  6. Step 6: Final answer
    x = 96,865.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.