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Finding the Third Proportional to 32,538 and 44,198

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Solution

The third proportional to 32,538 and 44,198 is: 60,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,538 : 44,198 = 44,198 : x
  2. Step 2: Convert to fraction form
    32,538/44,198 = 44,198/x
  3. Step 3: Cross multiply
    32,538x = 44,198 × 44,198
  4. Step 4: Simplify right side
    32,538x = 1,953,463,204
  5. Step 5: Solve for x
    x = 1,953,463,204/32,538
  6. Step 6: Final answer
    x = 60,036.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.