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Finding the Third Proportional to 18,171.21 and 38,543.98

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Solution

The third proportional to 18,171.21 and 38,543.98 is: 81,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,171.21 : 38,543.98 = 38,543.98 : x
  2. Step 2: Convert to fraction form
    18,171.21/38,543.98 = 38,543.98/x
  3. Step 3: Cross multiply
    18,171.21x = 38,543.98 × 38,543.98
  4. Step 4: Simplify right side
    18,171.21x = 1,485,638,129.25
  5. Step 5: Solve for x
    x = 1,485,638,129.25/18,171.21
  6. Step 6: Final answer
    x = 81,757.79

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.