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Finding the Third Proportional to 37,362 and 56,183.25

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Solution

The third proportional to 37,362 and 56,183.25 is: 84,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,362 : 56,183.25 = 56,183.25 : x
  2. Step 2: Convert to fraction form
    37,362/56,183.25 = 56,183.25/x
  3. Step 3: Cross multiply
    37,362x = 56,183.25 × 56,183.25
  4. Step 4: Simplify right side
    37,362x = 3,156,557,580.56
  5. Step 5: Solve for x
    x = 3,156,557,580.56/37,362
  6. Step 6: Final answer
    x = 84,485.78

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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.