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Finding the Third Proportional to 827.09 and 963.77

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Solution

The third proportional to 827.09 and 963.77 is: 1,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.09 : 963.77 = 963.77 : x
  2. Step 2: Convert to fraction form
    827.09/963.77 = 963.77/x
  3. Step 3: Cross multiply
    827.09x = 963.77 × 963.77
  4. Step 4: Simplify right side
    827.09x = 928,859.24
  5. Step 5: Solve for x
    x = 928,859.24/827.09
  6. Step 6: Final answer
    x = 1,123.05

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.