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Finding the Third Proportional to 18,512 and 28,228

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Solution

The third proportional to 18,512 and 28,228 is: 43,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,512 : 28,228 = 28,228 : x
  2. Step 2: Convert to fraction form
    18,512/28,228 = 28,228/x
  3. Step 3: Cross multiply
    18,512x = 28,228 × 28,228
  4. Step 4: Simplify right side
    18,512x = 796,819,984
  5. Step 5: Solve for x
    x = 796,819,984/18,512
  6. Step 6: Final answer
    x = 43,043.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.