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Finding the Third Proportional to 37,183.50 and 52,008.75

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Solution

The third proportional to 37,183.50 and 52,008.75 is: 72,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,183.50 : 52,008.75 = 52,008.75 : x
  2. Step 2: Convert to fraction form
    37,183.50/52,008.75 = 52,008.75/x
  3. Step 3: Cross multiply
    37,183.50x = 52,008.75 × 52,008.75
  4. Step 4: Simplify right side
    37,183.50x = 2,704,910,076.56
  5. Step 5: Solve for x
    x = 2,704,910,076.56/37,183.50
  6. Step 6: Final answer
    x = 72,744.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.