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Finding the Third Proportional to 4,234.50 and 11,239.88

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Solution

The third proportional to 4,234.50 and 11,239.88 is: 29,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.50 : 11,239.88 = 11,239.88 : x
  2. Step 2: Convert to fraction form
    4,234.50/11,239.88 = 11,239.88/x
  3. Step 3: Cross multiply
    4,234.50x = 11,239.88 × 11,239.88
  4. Step 4: Simplify right side
    4,234.50x = 126,334,790.02
  5. Step 5: Solve for x
    x = 126,334,790.02/4,234.50
  6. Step 6: Final answer
    x = 29,834.64

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.