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Finding the Third Proportional to 37,716 and 82,962

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Solution

The third proportional to 37,716 and 82,962 is: 182,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,716 : 82,962 = 82,962 : x
  2. Step 2: Convert to fraction form
    37,716/82,962 = 82,962/x
  3. Step 3: Cross multiply
    37,716x = 82,962 × 82,962
  4. Step 4: Simplify right side
    37,716x = 6,882,693,444
  5. Step 5: Solve for x
    x = 6,882,693,444/37,716
  6. Step 6: Final answer
    x = 182,487.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.