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Finding the Third Proportional to 8,002 and 16,376

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Solution

The third proportional to 8,002 and 16,376 is: 33,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002 : 16,376 = 16,376 : x
  2. Step 2: Convert to fraction form
    8,002/16,376 = 16,376/x
  3. Step 3: Cross multiply
    8,002x = 16,376 × 16,376
  4. Step 4: Simplify right side
    8,002x = 268,173,376
  5. Step 5: Solve for x
    x = 268,173,376/8,002
  6. Step 6: Final answer
    x = 33,513.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.