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Finding the Third Proportional to 8,094 and 10,759

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Solution

The third proportional to 8,094 and 10,759 is: 14,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094 : 10,759 = 10,759 : x
  2. Step 2: Convert to fraction form
    8,094/10,759 = 10,759/x
  3. Step 3: Cross multiply
    8,094x = 10,759 × 10,759
  4. Step 4: Simplify right side
    8,094x = 115,756,081
  5. Step 5: Solve for x
    x = 115,756,081/8,094
  6. Step 6: Final answer
    x = 14,301.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.