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Finding the Third Proportional to 38,999 and 79,846

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Solution

The third proportional to 38,999 and 79,846 is: 163,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,999 : 79,846 = 79,846 : x
  2. Step 2: Convert to fraction form
    38,999/79,846 = 79,846/x
  3. Step 3: Cross multiply
    38,999x = 79,846 × 79,846
  4. Step 4: Simplify right side
    38,999x = 6,375,383,716
  5. Step 5: Solve for x
    x = 6,375,383,716/38,999
  6. Step 6: Final answer
    x = 163,475.57

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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.