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Finding the Third Proportional to 6,932 and 10,774

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Solution

The third proportional to 6,932 and 10,774 is: 16,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932 : 10,774 = 10,774 : x
  2. Step 2: Convert to fraction form
    6,932/10,774 = 10,774/x
  3. Step 3: Cross multiply
    6,932x = 10,774 × 10,774
  4. Step 4: Simplify right side
    6,932x = 116,079,076
  5. Step 5: Solve for x
    x = 116,079,076/6,932
  6. Step 6: Final answer
    x = 16,745.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.