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Finding the Third Proportional to 10,171 and 20,995.25

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Solution

The third proportional to 10,171 and 20,995.25 is: 43,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171 : 20,995.25 = 20,995.25 : x
  2. Step 2: Convert to fraction form
    10,171/20,995.25 = 20,995.25/x
  3. Step 3: Cross multiply
    10,171x = 20,995.25 × 20,995.25
  4. Step 4: Simplify right side
    10,171x = 440,800,522.56
  5. Step 5: Solve for x
    x = 440,800,522.56/10,171
  6. Step 6: Final answer
    x = 43,338.96

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.