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Finding the Third Proportional to 24,242 and 37,067

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Solution

The third proportional to 24,242 and 37,067 is: 56,676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,242 : 37,067 = 37,067 : x
  2. Step 2: Convert to fraction form
    24,242/37,067 = 37,067/x
  3. Step 3: Cross multiply
    24,242x = 37,067 × 37,067
  4. Step 4: Simplify right side
    24,242x = 1,373,962,489
  5. Step 5: Solve for x
    x = 1,373,962,489/24,242
  6. Step 6: Final answer
    x = 56,676.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.