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Finding the Third Proportional to 8,094.94 and 11,383.03

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Solution

The third proportional to 8,094.94 and 11,383.03 is: 16,006.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.94 : 11,383.03 = 11,383.03 : x
  2. Step 2: Convert to fraction form
    8,094.94/11,383.03 = 11,383.03/x
  3. Step 3: Cross multiply
    8,094.94x = 11,383.03 × 11,383.03
  4. Step 4: Simplify right side
    8,094.94x = 129,573,400.44
  5. Step 5: Solve for x
    x = 129,573,400.44/8,094.94
  6. Step 6: Final answer
    x = 16,006.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.