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Finding the Third Proportional to 18,126 and 31,923

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Solution

The third proportional to 18,126 and 31,923 is: 56,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,126 : 31,923 = 31,923 : x
  2. Step 2: Convert to fraction form
    18,126/31,923 = 31,923/x
  3. Step 3: Cross multiply
    18,126x = 31,923 × 31,923
  4. Step 4: Simplify right side
    18,126x = 1,019,077,929
  5. Step 5: Solve for x
    x = 1,019,077,929/18,126
  6. Step 6: Final answer
    x = 56,221.89

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.