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Finding the Third Proportional to 31,187 and 43,923

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Solution

The third proportional to 31,187 and 43,923 is: 61,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,187 : 43,923 = 43,923 : x
  2. Step 2: Convert to fraction form
    31,187/43,923 = 43,923/x
  3. Step 3: Cross multiply
    31,187x = 43,923 × 43,923
  4. Step 4: Simplify right side
    31,187x = 1,929,229,929
  5. Step 5: Solve for x
    x = 1,929,229,929/31,187
  6. Step 6: Final answer
    x = 61,860.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.