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Finding the Third Proportional to 24,956 and 37,694

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Solution

The third proportional to 24,956 and 37,694 is: 56,933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,956 : 37,694 = 37,694 : x
  2. Step 2: Convert to fraction form
    24,956/37,694 = 37,694/x
  3. Step 3: Cross multiply
    24,956x = 37,694 × 37,694
  4. Step 4: Simplify right side
    24,956x = 1,420,837,636
  5. Step 5: Solve for x
    x = 1,420,837,636/24,956
  6. Step 6: Final answer
    x = 56,933.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.