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Finding the Third Proportional to 8,000 and 16,399

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Solution

The third proportional to 8,000 and 16,399 is: 33,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000 : 16,399 = 16,399 : x
  2. Step 2: Convert to fraction form
    8,000/16,399 = 16,399/x
  3. Step 3: Cross multiply
    8,000x = 16,399 × 16,399
  4. Step 4: Simplify right side
    8,000x = 268,927,201
  5. Step 5: Solve for x
    x = 268,927,201/8,000
  6. Step 6: Final answer
    x = 33,615.90

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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.