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Finding the Third Proportional to 43,827 and 95,991

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Solution

The third proportional to 43,827 and 95,991 is: 210,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,827 : 95,991 = 95,991 : x
  2. Step 2: Convert to fraction form
    43,827/95,991 = 95,991/x
  3. Step 3: Cross multiply
    43,827x = 95,991 × 95,991
  4. Step 4: Simplify right side
    43,827x = 9,214,272,081
  5. Step 5: Solve for x
    x = 9,214,272,081/43,827
  6. Step 6: Final answer
    x = 210,241.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.