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Finding the Third Proportional to 36,568 and 75,728

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Solution

The third proportional to 36,568 and 75,728 is: 156,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,568 : 75,728 = 75,728 : x
  2. Step 2: Convert to fraction form
    36,568/75,728 = 75,728/x
  3. Step 3: Cross multiply
    36,568x = 75,728 × 75,728
  4. Step 4: Simplify right side
    36,568x = 5,734,729,984
  5. Step 5: Solve for x
    x = 5,734,729,984/36,568
  6. Step 6: Final answer
    x = 156,823.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.