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Finding the Third Proportional to 41,024 and 87,936

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Solution

The third proportional to 41,024 and 87,936 is: 188,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,024 : 87,936 = 87,936 : x
  2. Step 2: Convert to fraction form
    41,024/87,936 = 87,936/x
  3. Step 3: Cross multiply
    41,024x = 87,936 × 87,936
  4. Step 4: Simplify right side
    41,024x = 7,732,740,096
  5. Step 5: Solve for x
    x = 7,732,740,096/41,024
  6. Step 6: Final answer
    x = 188,493.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.