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Finding the Third Proportional to 37,452 and 80,016

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Solution

The third proportional to 37,452 and 80,016 is: 170,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,452 : 80,016 = 80,016 : x
  2. Step 2: Convert to fraction form
    37,452/80,016 = 80,016/x
  3. Step 3: Cross multiply
    37,452x = 80,016 × 80,016
  4. Step 4: Simplify right side
    37,452x = 6,402,560,256
  5. Step 5: Solve for x
    x = 6,402,560,256/37,452
  6. Step 6: Final answer
    x = 170,953.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.