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Finding the Third Proportional to 38,298 and 79,872

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Solution

The third proportional to 38,298 and 79,872 is: 166,576.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,298 : 79,872 = 79,872 : x
  2. Step 2: Convert to fraction form
    38,298/79,872 = 79,872/x
  3. Step 3: Cross multiply
    38,298x = 79,872 × 79,872
  4. Step 4: Simplify right side
    38,298x = 6,379,536,384
  5. Step 5: Solve for x
    x = 6,379,536,384/38,298
  6. Step 6: Final answer
    x = 166,576.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.