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Finding the Third Proportional to 38,197 and 82,765

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Solution

The third proportional to 38,197 and 82,765 is: 179,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197 : 82,765 = 82,765 : x
  2. Step 2: Convert to fraction form
    38,197/82,765 = 82,765/x
  3. Step 3: Cross multiply
    38,197x = 82,765 × 82,765
  4. Step 4: Simplify right side
    38,197x = 6,850,045,225
  5. Step 5: Solve for x
    x = 6,850,045,225/38,197
  6. Step 6: Final answer
    x = 179,334.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.