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Finding the Third Proportional to 32,227.50 and 49,799

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Solution

The third proportional to 32,227.50 and 49,799 is: 76,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,227.50 : 49,799 = 49,799 : x
  2. Step 2: Convert to fraction form
    32,227.50/49,799 = 49,799/x
  3. Step 3: Cross multiply
    32,227.50x = 49,799 × 49,799
  4. Step 4: Simplify right side
    32,227.50x = 2,479,940,401
  5. Step 5: Solve for x
    x = 2,479,940,401/32,227.50
  6. Step 6: Final answer
    x = 76,951.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.