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Finding the Third Proportional to 3,183.05 and 4,276.76

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Solution

The third proportional to 3,183.05 and 4,276.76 is: 5,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.05 : 4,276.76 = 4,276.76 : x
  2. Step 2: Convert to fraction form
    3,183.05/4,276.76 = 4,276.76/x
  3. Step 3: Cross multiply
    3,183.05x = 4,276.76 × 4,276.76
  4. Step 4: Simplify right side
    3,183.05x = 18,290,657.39
  5. Step 5: Solve for x
    x = 18,290,657.39/3,183.05
  6. Step 6: Final answer
    x = 5,746.27

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.