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Finding the Third Proportional to 7,485.89 and 11,229.05

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Solution

The third proportional to 7,485.89 and 11,229.05 is: 16,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,485.89 : 11,229.05 = 11,229.05 : x
  2. Step 2: Convert to fraction form
    7,485.89/11,229.05 = 11,229.05/x
  3. Step 3: Cross multiply
    7,485.89x = 11,229.05 × 11,229.05
  4. Step 4: Simplify right side
    7,485.89x = 126,091,493.72
  5. Step 5: Solve for x
    x = 126,091,493.72/7,485.89
  6. Step 6: Final answer
    x = 16,843.89

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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.