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Finding the Third Proportional to 38,896 and 85,568

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Solution

The third proportional to 38,896 and 85,568 is: 188,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,896 : 85,568 = 85,568 : x
  2. Step 2: Convert to fraction form
    38,896/85,568 = 85,568/x
  3. Step 3: Cross multiply
    38,896x = 85,568 × 85,568
  4. Step 4: Simplify right side
    38,896x = 7,321,882,624
  5. Step 5: Solve for x
    x = 7,321,882,624/38,896
  6. Step 6: Final answer
    x = 188,242.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.