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Finding the Third Proportional to 3,162.80 and 3,622.22

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Solution

The third proportional to 3,162.80 and 3,622.22 is: 4,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.80 : 3,622.22 = 3,622.22 : x
  2. Step 2: Convert to fraction form
    3,162.80/3,622.22 = 3,622.22/x
  3. Step 3: Cross multiply
    3,162.80x = 3,622.22 × 3,622.22
  4. Step 4: Simplify right side
    3,162.80x = 13,120,468.67
  5. Step 5: Solve for x
    x = 13,120,468.67/3,162.80
  6. Step 6: Final answer
    x = 4,148.38

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.