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Finding the Third Proportional to 32,811 and 50,904

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Solution

The third proportional to 32,811 and 50,904 is: 78,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,811 : 50,904 = 50,904 : x
  2. Step 2: Convert to fraction form
    32,811/50,904 = 50,904/x
  3. Step 3: Cross multiply
    32,811x = 50,904 × 50,904
  4. Step 4: Simplify right side
    32,811x = 2,591,217,216
  5. Step 5: Solve for x
    x = 2,591,217,216/32,811
  6. Step 6: Final answer
    x = 78,974.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.