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Finding the Third Proportional to 7,899 and 16,849

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Solution

The third proportional to 7,899 and 16,849 is: 35,939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899 : 16,849 = 16,849 : x
  2. Step 2: Convert to fraction form
    7,899/16,849 = 16,849/x
  3. Step 3: Cross multiply
    7,899x = 16,849 × 16,849
  4. Step 4: Simplify right side
    7,899x = 283,888,801
  5. Step 5: Solve for x
    x = 283,888,801/7,899
  6. Step 6: Final answer
    x = 35,939.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.