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Finding the Third Proportional to 20,591 and 30,794

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Solution

The third proportional to 20,591 and 30,794 is: 46,052.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,591 : 30,794 = 30,794 : x
  2. Step 2: Convert to fraction form
    20,591/30,794 = 30,794/x
  3. Step 3: Cross multiply
    20,591x = 30,794 × 30,794
  4. Step 4: Simplify right side
    20,591x = 948,270,436
  5. Step 5: Solve for x
    x = 948,270,436/20,591
  6. Step 6: Final answer
    x = 46,052.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.