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Finding the Third Proportional to 32,694 and 50,094

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Solution

The third proportional to 32,694 and 50,094 is: 76,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,694 : 50,094 = 50,094 : x
  2. Step 2: Convert to fraction form
    32,694/50,094 = 50,094/x
  3. Step 3: Cross multiply
    32,694x = 50,094 × 50,094
  4. Step 4: Simplify right side
    32,694x = 2,509,408,836
  5. Step 5: Solve for x
    x = 2,509,408,836/32,694
  6. Step 6: Final answer
    x = 76,754.41

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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.