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Finding the Third Proportional to 39,811 and 83,941

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Solution

The third proportional to 39,811 and 83,941 is: 176,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,811 : 83,941 = 83,941 : x
  2. Step 2: Convert to fraction form
    39,811/83,941 = 83,941/x
  3. Step 3: Cross multiply
    39,811x = 83,941 × 83,941
  4. Step 4: Simplify right side
    39,811x = 7,046,091,481
  5. Step 5: Solve for x
    x = 7,046,091,481/39,811
  6. Step 6: Final answer
    x = 176,988.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.