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Finding the Third Proportional to 32,198 and 49,755

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Solution

The third proportional to 32,198 and 49,755 is: 76,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198 : 49,755 = 49,755 : x
  2. Step 2: Convert to fraction form
    32,198/49,755 = 49,755/x
  3. Step 3: Cross multiply
    32,198x = 49,755 × 49,755
  4. Step 4: Simplify right side
    32,198x = 2,475,560,025
  5. Step 5: Solve for x
    x = 2,475,560,025/32,198
  6. Step 6: Final answer
    x = 76,885.52

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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.