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Finding the Third Proportional to 38,475 and 80,568

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Solution

The third proportional to 38,475 and 80,568 is: 168,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475 : 80,568 = 80,568 : x
  2. Step 2: Convert to fraction form
    38,475/80,568 = 80,568/x
  3. Step 3: Cross multiply
    38,475x = 80,568 × 80,568
  4. Step 4: Simplify right side
    38,475x = 6,491,202,624
  5. Step 5: Solve for x
    x = 6,491,202,624/38,475
  6. Step 6: Final answer
    x = 168,712.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.