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Finding the Third Proportional to 38,361 and 82,052

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Solution

The third proportional to 38,361 and 82,052 is: 175,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,361 : 82,052 = 82,052 : x
  2. Step 2: Convert to fraction form
    38,361/82,052 = 82,052/x
  3. Step 3: Cross multiply
    38,361x = 82,052 × 82,052
  4. Step 4: Simplify right side
    38,361x = 6,732,530,704
  5. Step 5: Solve for x
    x = 6,732,530,704/38,361
  6. Step 6: Final answer
    x = 175,504.57

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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.