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Finding the Third Proportional to 38,825 and 58,177

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Solution

The third proportional to 38,825 and 58,177 is: 87,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,825 : 58,177 = 58,177 : x
  2. Step 2: Convert to fraction form
    38,825/58,177 = 58,177/x
  3. Step 3: Cross multiply
    38,825x = 58,177 × 58,177
  4. Step 4: Simplify right side
    38,825x = 3,384,563,329
  5. Step 5: Solve for x
    x = 3,384,563,329/38,825
  6. Step 6: Final answer
    x = 87,174.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.