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Finding the Third Proportional to 39,811 and 85,838

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Solution

The third proportional to 39,811 and 85,838 is: 185,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,811 : 85,838 = 85,838 : x
  2. Step 2: Convert to fraction form
    39,811/85,838 = 85,838/x
  3. Step 3: Cross multiply
    39,811x = 85,838 × 85,838
  4. Step 4: Simplify right side
    39,811x = 7,368,162,244
  5. Step 5: Solve for x
    x = 7,368,162,244/39,811
  6. Step 6: Final answer
    x = 185,078.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.