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Finding the Third Proportional to 23,408.44 and 34,236.56

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Solution

The third proportional to 23,408.44 and 34,236.56 is: 50,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408.44 : 34,236.56 = 34,236.56 : x
  2. Step 2: Convert to fraction form
    23,408.44/34,236.56 = 34,236.56/x
  3. Step 3: Cross multiply
    23,408.44x = 34,236.56 × 34,236.56
  4. Step 4: Simplify right side
    23,408.44x = 1,172,142,211.82
  5. Step 5: Solve for x
    x = 1,172,142,211.82/23,408.44
  6. Step 6: Final answer
    x = 50,073.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.