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Finding the Third Proportional to 15,697.50 and 34,493.25

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Solution

The third proportional to 15,697.50 and 34,493.25 is: 75,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.50 : 34,493.25 = 34,493.25 : x
  2. Step 2: Convert to fraction form
    15,697.50/34,493.25 = 34,493.25/x
  3. Step 3: Cross multiply
    15,697.50x = 34,493.25 × 34,493.25
  4. Step 4: Simplify right side
    15,697.50x = 1,189,784,295.56
  5. Step 5: Solve for x
    x = 1,189,784,295.56/15,697.50
  6. Step 6: Final answer
    x = 75,794.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.