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Finding the Third Proportional to 32,793.75 and 50,274

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Solution

The third proportional to 32,793.75 and 50,274 is: 77,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,793.75 : 50,274 = 50,274 : x
  2. Step 2: Convert to fraction form
    32,793.75/50,274 = 50,274/x
  3. Step 3: Cross multiply
    32,793.75x = 50,274 × 50,274
  4. Step 4: Simplify right side
    32,793.75x = 2,527,475,076
  5. Step 5: Solve for x
    x = 2,527,475,076/32,793.75
  6. Step 6: Final answer
    x = 77,071.85

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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.