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Finding the Third Proportional to 37,363 and 56,198

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Solution

The third proportional to 37,363 and 56,198 is: 84,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,363 : 56,198 = 56,198 : x
  2. Step 2: Convert to fraction form
    37,363/56,198 = 56,198/x
  3. Step 3: Cross multiply
    37,363x = 56,198 × 56,198
  4. Step 4: Simplify right side
    37,363x = 3,158,215,204
  5. Step 5: Solve for x
    x = 3,158,215,204/37,363
  6. Step 6: Final answer
    x = 84,527.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.