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Finding the Third Proportional to 7,847 and 16,333

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Solution

The third proportional to 7,847 and 16,333 is: 33,996.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847 : 16,333 = 16,333 : x
  2. Step 2: Convert to fraction form
    7,847/16,333 = 16,333/x
  3. Step 3: Cross multiply
    7,847x = 16,333 × 16,333
  4. Step 4: Simplify right side
    7,847x = 266,766,889
  5. Step 5: Solve for x
    x = 266,766,889/7,847
  6. Step 6: Final answer
    x = 33,996.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.