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Finding the Third Proportional to 827.72 and 1,785.36

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Solution

The third proportional to 827.72 and 1,785.36 is: 3,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.72 : 1,785.36 = 1,785.36 : x
  2. Step 2: Convert to fraction form
    827.72/1,785.36 = 1,785.36/x
  3. Step 3: Cross multiply
    827.72x = 1,785.36 × 1,785.36
  4. Step 4: Simplify right side
    827.72x = 3,187,516.82
  5. Step 5: Solve for x
    x = 3,187,516.82/827.72
  6. Step 6: Final answer
    x = 3,850.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.