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Finding the Third Proportional to 1,000.97 and 2,183.91

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Solution

The third proportional to 1,000.97 and 2,183.91 is: 4,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.97 : 2,183.91 = 2,183.91 : x
  2. Step 2: Convert to fraction form
    1,000.97/2,183.91 = 2,183.91/x
  3. Step 3: Cross multiply
    1,000.97x = 2,183.91 × 2,183.91
  4. Step 4: Simplify right side
    1,000.97x = 4,769,446.51
  5. Step 5: Solve for x
    x = 4,769,446.51/1,000.97
  6. Step 6: Final answer
    x = 4,764.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.