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Finding the Third Proportional to 6,782 and 9,338

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Solution

The third proportional to 6,782 and 9,338 is: 12,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782 : 9,338 = 9,338 : x
  2. Step 2: Convert to fraction form
    6,782/9,338 = 9,338/x
  3. Step 3: Cross multiply
    6,782x = 9,338 × 9,338
  4. Step 4: Simplify right side
    6,782x = 87,198,244
  5. Step 5: Solve for x
    x = 87,198,244/6,782
  6. Step 6: Final answer
    x = 12,857.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.