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Finding the Third Proportional to 37,975 and 83,266

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Solution

The third proportional to 37,975 and 83,266 is: 182,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,975 : 83,266 = 83,266 : x
  2. Step 2: Convert to fraction form
    37,975/83,266 = 83,266/x
  3. Step 3: Cross multiply
    37,975x = 83,266 × 83,266
  4. Step 4: Simplify right side
    37,975x = 6,933,226,756
  5. Step 5: Solve for x
    x = 6,933,226,756/37,975
  6. Step 6: Final answer
    x = 182,573.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.