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Finding the Third Proportional to 32,331 and 50,179

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Solution

The third proportional to 32,331 and 50,179 is: 77,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,331 : 50,179 = 50,179 : x
  2. Step 2: Convert to fraction form
    32,331/50,179 = 50,179/x
  3. Step 3: Cross multiply
    32,331x = 50,179 × 50,179
  4. Step 4: Simplify right side
    32,331x = 2,517,932,041
  5. Step 5: Solve for x
    x = 2,517,932,041/32,331
  6. Step 6: Final answer
    x = 77,879.81

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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.