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Finding the Third Proportional to 5,512.22 and 8,281.41

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Solution

The third proportional to 5,512.22 and 8,281.41 is: 12,441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,512.22 : 8,281.41 = 8,281.41 : x
  2. Step 2: Convert to fraction form
    5,512.22/8,281.41 = 8,281.41/x
  3. Step 3: Cross multiply
    5,512.22x = 8,281.41 × 8,281.41
  4. Step 4: Simplify right side
    5,512.22x = 68,581,689.48
  5. Step 5: Solve for x
    x = 68,581,689.48/5,512.22
  6. Step 6: Final answer
    x = 12,441.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.