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Finding the Third Proportional to 38,491.75 and 82,713

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Solution

The third proportional to 38,491.75 and 82,713 is: 177,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,491.75 : 82,713 = 82,713 : x
  2. Step 2: Convert to fraction form
    38,491.75/82,713 = 82,713/x
  3. Step 3: Cross multiply
    38,491.75x = 82,713 × 82,713
  4. Step 4: Simplify right side
    38,491.75x = 6,841,440,369
  5. Step 5: Solve for x
    x = 6,841,440,369/38,491.75
  6. Step 6: Final answer
    x = 177,737.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.