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Finding the Third Proportional to 39,811 and 62,138

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Solution

The third proportional to 39,811 and 62,138 is: 96,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,811 : 62,138 = 62,138 : x
  2. Step 2: Convert to fraction form
    39,811/62,138 = 62,138/x
  3. Step 3: Cross multiply
    39,811x = 62,138 × 62,138
  4. Step 4: Simplify right side
    39,811x = 3,861,131,044
  5. Step 5: Solve for x
    x = 3,861,131,044/39,811
  6. Step 6: Final answer
    x = 96,986.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.