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Finding the Third Proportional to 8,611.31 and 13,771.27

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Solution

The third proportional to 8,611.31 and 13,771.27 is: 22,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.31 : 13,771.27 = 13,771.27 : x
  2. Step 2: Convert to fraction form
    8,611.31/13,771.27 = 13,771.27/x
  3. Step 3: Cross multiply
    8,611.31x = 13,771.27 × 13,771.27
  4. Step 4: Simplify right side
    8,611.31x = 189,647,756.91
  5. Step 5: Solve for x
    x = 189,647,756.91/8,611.31
  6. Step 6: Final answer
    x = 22,023.10

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.