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Finding the Third Proportional to 38,682 and 90,846

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Solution

The third proportional to 38,682 and 90,846 is: 213,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,682 : 90,846 = 90,846 : x
  2. Step 2: Convert to fraction form
    38,682/90,846 = 90,846/x
  3. Step 3: Cross multiply
    38,682x = 90,846 × 90,846
  4. Step 4: Simplify right side
    38,682x = 8,252,995,716
  5. Step 5: Solve for x
    x = 8,252,995,716/38,682
  6. Step 6: Final answer
    x = 213,354.94

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.