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Finding the Third Proportional to 41,089 and 62,738

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Solution

The third proportional to 41,089 and 62,738 is: 95,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,089 : 62,738 = 62,738 : x
  2. Step 2: Convert to fraction form
    41,089/62,738 = 62,738/x
  3. Step 3: Cross multiply
    41,089x = 62,738 × 62,738
  4. Step 4: Simplify right side
    41,089x = 3,936,056,644
  5. Step 5: Solve for x
    x = 3,936,056,644/41,089
  6. Step 6: Final answer
    x = 95,793.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.