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Finding the Third Proportional to 37,343.95 and 80,912.67

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Solution

The third proportional to 37,343.95 and 80,912.67 is: 175,312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,343.95 : 80,912.67 = 80,912.67 : x
  2. Step 2: Convert to fraction form
    37,343.95/80,912.67 = 80,912.67/x
  3. Step 3: Cross multiply
    37,343.95x = 80,912.67 × 80,912.67
  4. Step 4: Simplify right side
    37,343.95x = 6,546,860,469.95
  5. Step 5: Solve for x
    x = 6,546,860,469.95/37,343.95
  6. Step 6: Final answer
    x = 175,312.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.