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Finding the Third Proportional to 34,674.75 and 82,380.75

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Solution

The third proportional to 34,674.75 and 82,380.75 is: 195,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,674.75 : 82,380.75 = 82,380.75 : x
  2. Step 2: Convert to fraction form
    34,674.75/82,380.75 = 82,380.75/x
  3. Step 3: Cross multiply
    34,674.75x = 82,380.75 × 82,380.75
  4. Step 4: Simplify right side
    34,674.75x = 6,786,587,970.56
  5. Step 5: Solve for x
    x = 6,786,587,970.56/34,674.75
  6. Step 6: Final answer
    x = 195,721.32

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.