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Finding the Third Proportional to 38,286 and 79,848

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Solution

The third proportional to 38,286 and 79,848 is: 166,528.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286 : 79,848 = 79,848 : x
  2. Step 2: Convert to fraction form
    38,286/79,848 = 79,848/x
  3. Step 3: Cross multiply
    38,286x = 79,848 × 79,848
  4. Step 4: Simplify right side
    38,286x = 6,375,703,104
  5. Step 5: Solve for x
    x = 6,375,703,104/38,286
  6. Step 6: Final answer
    x = 166,528.32

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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.