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Finding the Third Proportional to 8,194 and 10,995

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Solution

The third proportional to 8,194 and 10,995 is: 14,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194 : 10,995 = 10,995 : x
  2. Step 2: Convert to fraction form
    8,194/10,995 = 10,995/x
  3. Step 3: Cross multiply
    8,194x = 10,995 × 10,995
  4. Step 4: Simplify right side
    8,194x = 120,890,025
  5. Step 5: Solve for x
    x = 120,890,025/8,194
  6. Step 6: Final answer
    x = 14,753.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.