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Finding the Third Proportional to 32,772 and 49,198

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Solution

The third proportional to 32,772 and 49,198 is: 73,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772 : 49,198 = 49,198 : x
  2. Step 2: Convert to fraction form
    32,772/49,198 = 49,198/x
  3. Step 3: Cross multiply
    32,772x = 49,198 × 49,198
  4. Step 4: Simplify right side
    32,772x = 2,420,443,204
  5. Step 5: Solve for x
    x = 2,420,443,204/32,772
  6. Step 6: Final answer
    x = 73,857.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.