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Finding the Third Proportional to 40,967 and 73,408

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Solution

The third proportional to 40,967 and 73,408 is: 131,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,967 : 73,408 = 73,408 : x
  2. Step 2: Convert to fraction form
    40,967/73,408 = 73,408/x
  3. Step 3: Cross multiply
    40,967x = 73,408 × 73,408
  4. Step 4: Simplify right side
    40,967x = 5,388,734,464
  5. Step 5: Solve for x
    x = 5,388,734,464/40,967
  6. Step 6: Final answer
    x = 131,538.42

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.