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Finding the Third Proportional to 2,183.63 and 4,942.69

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Solution

The third proportional to 2,183.63 and 4,942.69 is: 11,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.63 : 4,942.69 = 4,942.69 : x
  2. Step 2: Convert to fraction form
    2,183.63/4,942.69 = 4,942.69/x
  3. Step 3: Cross multiply
    2,183.63x = 4,942.69 × 4,942.69
  4. Step 4: Simplify right side
    2,183.63x = 24,430,159.72
  5. Step 5: Solve for x
    x = 24,430,159.72/2,183.63
  6. Step 6: Final answer
    x = 11,187.89

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.