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Finding the Third Proportional to 7,997 and 11,253

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Solution

The third proportional to 7,997 and 11,253 is: 15,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997 : 11,253 = 11,253 : x
  2. Step 2: Convert to fraction form
    7,997/11,253 = 11,253/x
  3. Step 3: Cross multiply
    7,997x = 11,253 × 11,253
  4. Step 4: Simplify right side
    7,997x = 126,630,009
  5. Step 5: Solve for x
    x = 126,630,009/7,997
  6. Step 6: Final answer
    x = 15,834.69

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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.