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Finding the Third Proportional to 38,538 and 85,844

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Solution

The third proportional to 38,538 and 85,844 is: 191,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,538 : 85,844 = 85,844 : x
  2. Step 2: Convert to fraction form
    38,538/85,844 = 85,844/x
  3. Step 3: Cross multiply
    38,538x = 85,844 × 85,844
  4. Step 4: Simplify right side
    38,538x = 7,369,192,336
  5. Step 5: Solve for x
    x = 7,369,192,336/38,538
  6. Step 6: Final answer
    x = 191,218.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.