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Finding the Third Proportional to 8,091 and 11,844

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Solution

The third proportional to 8,091 and 11,844 is: 17,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091 : 11,844 = 11,844 : x
  2. Step 2: Convert to fraction form
    8,091/11,844 = 11,844/x
  3. Step 3: Cross multiply
    8,091x = 11,844 × 11,844
  4. Step 4: Simplify right side
    8,091x = 140,280,336
  5. Step 5: Solve for x
    x = 140,280,336/8,091
  6. Step 6: Final answer
    x = 17,337.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.