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Finding the Third Proportional to 38,183 and 58,084

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Solution

The third proportional to 38,183 and 58,084 is: 88,357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,183 : 58,084 = 58,084 : x
  2. Step 2: Convert to fraction form
    38,183/58,084 = 58,084/x
  3. Step 3: Cross multiply
    38,183x = 58,084 × 58,084
  4. Step 4: Simplify right side
    38,183x = 3,373,751,056
  5. Step 5: Solve for x
    x = 3,373,751,056/38,183
  6. Step 6: Final answer
    x = 88,357.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.