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Finding the Third Proportional to 15,889.50 and 36,942.75

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Solution

The third proportional to 15,889.50 and 36,942.75 is: 85,891.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.50 : 36,942.75 = 36,942.75 : x
  2. Step 2: Convert to fraction form
    15,889.50/36,942.75 = 36,942.75/x
  3. Step 3: Cross multiply
    15,889.50x = 36,942.75 × 36,942.75
  4. Step 4: Simplify right side
    15,889.50x = 1,364,766,777.56
  5. Step 5: Solve for x
    x = 1,364,766,777.56/15,889.50
  6. Step 6: Final answer
    x = 85,891.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.