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Finding the Third Proportional to 11,375.25 and 23,297.25

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Solution

The third proportional to 11,375.25 and 23,297.25 is: 47,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.25 : 23,297.25 = 23,297.25 : x
  2. Step 2: Convert to fraction form
    11,375.25/23,297.25 = 23,297.25/x
  3. Step 3: Cross multiply
    11,375.25x = 23,297.25 × 23,297.25
  4. Step 4: Simplify right side
    11,375.25x = 542,761,857.56
  5. Step 5: Solve for x
    x = 542,761,857.56/11,375.25
  6. Step 6: Final answer
    x = 47,714.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.