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Finding the Third Proportional to 20,274 and 28,923

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Solution

The third proportional to 20,274 and 28,923 is: 41,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274 : 28,923 = 28,923 : x
  2. Step 2: Convert to fraction form
    20,274/28,923 = 28,923/x
  3. Step 3: Cross multiply
    20,274x = 28,923 × 28,923
  4. Step 4: Simplify right side
    20,274x = 836,539,929
  5. Step 5: Solve for x
    x = 836,539,929/20,274
  6. Step 6: Final answer
    x = 41,261.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.