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Finding the Third Proportional to 8,338 and 16,442

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Solution

The third proportional to 8,338 and 16,442 is: 32,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338 : 16,442 = 16,442 : x
  2. Step 2: Convert to fraction form
    8,338/16,442 = 16,442/x
  3. Step 3: Cross multiply
    8,338x = 16,442 × 16,442
  4. Step 4: Simplify right side
    8,338x = 270,339,364
  5. Step 5: Solve for x
    x = 270,339,364/8,338
  6. Step 6: Final answer
    x = 32,422.57

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.