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Finding the Third Proportional to 50,408.50 and 74,463

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Solution

The third proportional to 50,408.50 and 74,463 is: 109,996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,408.50 : 74,463 = 74,463 : x
  2. Step 2: Convert to fraction form
    50,408.50/74,463 = 74,463/x
  3. Step 3: Cross multiply
    50,408.50x = 74,463 × 74,463
  4. Step 4: Simplify right side
    50,408.50x = 5,544,738,369
  5. Step 5: Solve for x
    x = 5,544,738,369/50,408.50
  6. Step 6: Final answer
    x = 109,996.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.