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Finding the Third Proportional to 30,794 and 49,591

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Solution

The third proportional to 30,794 and 49,591 is: 79,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794 : 49,591 = 49,591 : x
  2. Step 2: Convert to fraction form
    30,794/49,591 = 49,591/x
  3. Step 3: Cross multiply
    30,794x = 49,591 × 49,591
  4. Step 4: Simplify right side
    30,794x = 2,459,267,281
  5. Step 5: Solve for x
    x = 2,459,267,281/30,794
  6. Step 6: Final answer
    x = 79,861.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.