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Finding the Third Proportional to 37,777.50 and 79,440.75

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Solution

The third proportional to 37,777.50 and 79,440.75 is: 167,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,777.50 : 79,440.75 = 79,440.75 : x
  2. Step 2: Convert to fraction form
    37,777.50/79,440.75 = 79,440.75/x
  3. Step 3: Cross multiply
    37,777.50x = 79,440.75 × 79,440.75
  4. Step 4: Simplify right side
    37,777.50x = 6,310,832,760.56
  5. Step 5: Solve for x
    x = 6,310,832,760.56/37,777.50
  6. Step 6: Final answer
    x = 167,052.68

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.