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Finding the Third Proportional to 37,991 and 82,975

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Solution

The third proportional to 37,991 and 82,975 is: 181,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,991 : 82,975 = 82,975 : x
  2. Step 2: Convert to fraction form
    37,991/82,975 = 82,975/x
  3. Step 3: Cross multiply
    37,991x = 82,975 × 82,975
  4. Step 4: Simplify right side
    37,991x = 6,884,850,625
  5. Step 5: Solve for x
    x = 6,884,850,625/37,991
  6. Step 6: Final answer
    x = 181,223.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.