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Finding the Third Proportional to 37,462.50 and 51,900.75

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Solution

The third proportional to 37,462.50 and 51,900.75 is: 71,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,462.50 : 51,900.75 = 51,900.75 : x
  2. Step 2: Convert to fraction form
    37,462.50/51,900.75 = 51,900.75/x
  3. Step 3: Cross multiply
    37,462.50x = 51,900.75 × 51,900.75
  4. Step 4: Simplify right side
    37,462.50x = 2,693,687,850.56
  5. Step 5: Solve for x
    x = 2,693,687,850.56/37,462.50
  6. Step 6: Final answer
    x = 71,903.58

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.