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Finding the Third Proportional to 37,962 and 75,879

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Solution

The third proportional to 37,962 and 75,879 is: 151,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,962 : 75,879 = 75,879 : x
  2. Step 2: Convert to fraction form
    37,962/75,879 = 75,879/x
  3. Step 3: Cross multiply
    37,962x = 75,879 × 75,879
  4. Step 4: Simplify right side
    37,962x = 5,757,622,641
  5. Step 5: Solve for x
    x = 5,757,622,641/37,962
  6. Step 6: Final answer
    x = 151,668.05

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.