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Finding the Third Proportional to 4,183.88 and 6,276.94

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Solution

The third proportional to 4,183.88 and 6,276.94 is: 9,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.88 : 6,276.94 = 6,276.94 : x
  2. Step 2: Convert to fraction form
    4,183.88/6,276.94 = 6,276.94/x
  3. Step 3: Cross multiply
    4,183.88x = 6,276.94 × 6,276.94
  4. Step 4: Simplify right side
    4,183.88x = 39,399,944.38
  5. Step 5: Solve for x
    x = 39,399,944.38/4,183.88
  6. Step 6: Final answer
    x = 9,417.09

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Why These Related Problems?

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