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Finding the Third Proportional to 13,874.73 and 30,517.22

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Solution

The third proportional to 13,874.73 and 30,517.22 is: 67,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.73 : 30,517.22 = 30,517.22 : x
  2. Step 2: Convert to fraction form
    13,874.73/30,517.22 = 30,517.22/x
  3. Step 3: Cross multiply
    13,874.73x = 30,517.22 × 30,517.22
  4. Step 4: Simplify right side
    13,874.73x = 931,300,997.86
  5. Step 5: Solve for x
    x = 931,300,997.86/13,874.73
  6. Step 6: Final answer
    x = 67,122.10

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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.