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Finding the Third Proportional to 38,350 and 82,165

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Solution

The third proportional to 38,350 and 82,165 is: 176,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,350 : 82,165 = 82,165 : x
  2. Step 2: Convert to fraction form
    38,350/82,165 = 82,165/x
  3. Step 3: Cross multiply
    38,350x = 82,165 × 82,165
  4. Step 4: Simplify right side
    38,350x = 6,751,087,225
  5. Step 5: Solve for x
    x = 6,751,087,225/38,350
  6. Step 6: Final answer
    x = 176,038.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.