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Finding the Third Proportional to 38,831 and 58,185

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Solution

The third proportional to 38,831 and 58,185 is: 87,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,831 : 58,185 = 58,185 : x
  2. Step 2: Convert to fraction form
    38,831/58,185 = 58,185/x
  3. Step 3: Cross multiply
    38,831x = 58,185 × 58,185
  4. Step 4: Simplify right side
    38,831x = 3,385,494,225
  5. Step 5: Solve for x
    x = 3,385,494,225/38,831
  6. Step 6: Final answer
    x = 87,185.35

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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.