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Finding the Third Proportional to 5,834.85 and 11,908.90

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Solution

The third proportional to 5,834.85 and 11,908.90 is: 24,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.85 : 11,908.90 = 11,908.90 : x
  2. Step 2: Convert to fraction form
    5,834.85/11,908.90 = 11,908.90/x
  3. Step 3: Cross multiply
    5,834.85x = 11,908.90 × 11,908.90
  4. Step 4: Simplify right side
    5,834.85x = 141,821,861.99
  5. Step 5: Solve for x
    x = 141,821,861.99/5,834.85
  6. Step 6: Final answer
    x = 24,306.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.