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Finding the Third Proportional to 31,950 and 50,018

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Solution

The third proportional to 31,950 and 50,018 is: 78,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,950 : 50,018 = 50,018 : x
  2. Step 2: Convert to fraction form
    31,950/50,018 = 50,018/x
  3. Step 3: Cross multiply
    31,950x = 50,018 × 50,018
  4. Step 4: Simplify right side
    31,950x = 2,501,800,324
  5. Step 5: Solve for x
    x = 2,501,800,324/31,950
  6. Step 6: Final answer
    x = 78,303.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.