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Finding the Third Proportional to 32,944 and 50,676

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Solution

The third proportional to 32,944 and 50,676 is: 77,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,944 : 50,676 = 50,676 : x
  2. Step 2: Convert to fraction form
    32,944/50,676 = 50,676/x
  3. Step 3: Cross multiply
    32,944x = 50,676 × 50,676
  4. Step 4: Simplify right side
    32,944x = 2,568,056,976
  5. Step 5: Solve for x
    x = 2,568,056,976/32,944
  6. Step 6: Final answer
    x = 77,952.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.