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Finding the Third Proportional to 38,084 and 82,702

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Solution

The third proportional to 38,084 and 82,702 is: 179,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,084 : 82,702 = 82,702 : x
  2. Step 2: Convert to fraction form
    38,084/82,702 = 82,702/x
  3. Step 3: Cross multiply
    38,084x = 82,702 × 82,702
  4. Step 4: Simplify right side
    38,084x = 6,839,620,804
  5. Step 5: Solve for x
    x = 6,839,620,804/38,084
  6. Step 6: Final answer
    x = 179,593.03

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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.