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Finding the Third Proportional to 37,362 and 56,325

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Solution

The third proportional to 37,362 and 56,325 is: 84,912.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,362 : 56,325 = 56,325 : x
  2. Step 2: Convert to fraction form
    37,362/56,325 = 56,325/x
  3. Step 3: Cross multiply
    37,362x = 56,325 × 56,325
  4. Step 4: Simplify right side
    37,362x = 3,172,505,625
  5. Step 5: Solve for x
    x = 3,172,505,625/37,362
  6. Step 6: Final answer
    x = 84,912.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.