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Finding the Third Proportional to 38,086 and 82,526

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Solution

The third proportional to 38,086 and 82,526 is: 178,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,086 : 82,526 = 82,526 : x
  2. Step 2: Convert to fraction form
    38,086/82,526 = 82,526/x
  3. Step 3: Cross multiply
    38,086x = 82,526 × 82,526
  4. Step 4: Simplify right side
    38,086x = 6,810,540,676
  5. Step 5: Solve for x
    x = 6,810,540,676/38,086
  6. Step 6: Final answer
    x = 178,820.06

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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.