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Finding the Third Proportional to 38,183 and 58,085

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Solution

The third proportional to 38,183 and 58,085 is: 88,360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,183 : 58,085 = 58,085 : x
  2. Step 2: Convert to fraction form
    38,183/58,085 = 58,085/x
  3. Step 3: Cross multiply
    38,183x = 58,085 × 58,085
  4. Step 4: Simplify right side
    38,183x = 3,373,867,225
  5. Step 5: Solve for x
    x = 3,373,867,225/38,183
  6. Step 6: Final answer
    x = 88,360.45

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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.