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Finding the Third Proportional to 18,296 and 28,272

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Solution

The third proportional to 18,296 and 28,272 is: 43,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,296 : 28,272 = 28,272 : x
  2. Step 2: Convert to fraction form
    18,296/28,272 = 28,272/x
  3. Step 3: Cross multiply
    18,296x = 28,272 × 28,272
  4. Step 4: Simplify right side
    18,296x = 799,305,984
  5. Step 5: Solve for x
    x = 799,305,984/18,296
  6. Step 6: Final answer
    x = 43,687.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.