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Finding the Third Proportional to 825 and 927

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Solution

The third proportional to 825 and 927 is: 1,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    825 : 927 = 927 : x
  2. Step 2: Convert to fraction form
    825/927 = 927/x
  3. Step 3: Cross multiply
    825x = 927 × 927
  4. Step 4: Simplify right side
    825x = 859,329
  5. Step 5: Solve for x
    x = 859,329/825
  6. Step 6: Final answer
    x = 1,041.61

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.