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Finding the Third Proportional to 5,939.85 and 13,811.67

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Solution

The third proportional to 5,939.85 and 13,811.67 is: 32,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.85 : 13,811.67 = 13,811.67 : x
  2. Step 2: Convert to fraction form
    5,939.85/13,811.67 = 13,811.67/x
  3. Step 3: Cross multiply
    5,939.85x = 13,811.67 × 13,811.67
  4. Step 4: Simplify right side
    5,939.85x = 190,762,138.36
  5. Step 5: Solve for x
    x = 190,762,138.36/5,939.85
  6. Step 6: Final answer
    x = 32,115.62

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.