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Finding the Third Proportional to 36,049.50 and 53,775.56

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Solution

The third proportional to 36,049.50 and 53,775.56 is: 80,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,049.50 : 53,775.56 = 53,775.56 : x
  2. Step 2: Convert to fraction form
    36,049.50/53,775.56 = 53,775.56/x
  3. Step 3: Cross multiply
    36,049.50x = 53,775.56 × 53,775.56
  4. Step 4: Simplify right side
    36,049.50x = 2,891,811,122.19
  5. Step 5: Solve for x
    x = 2,891,811,122.19/36,049.50
  6. Step 6: Final answer
    x = 80,217.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.