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Finding the Third Proportional to 32,794 and 49,793

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Solution

The third proportional to 32,794 and 49,793 is: 75,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,794 : 49,793 = 49,793 : x
  2. Step 2: Convert to fraction form
    32,794/49,793 = 49,793/x
  3. Step 3: Cross multiply
    32,794x = 49,793 × 49,793
  4. Step 4: Simplify right side
    32,794x = 2,479,342,849
  5. Step 5: Solve for x
    x = 2,479,342,849/32,794
  6. Step 6: Final answer
    x = 75,603.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.