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Finding the Third Proportional to 8,308 and 9,694

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Solution

The third proportional to 8,308 and 9,694 is: 11,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308 : 9,694 = 9,694 : x
  2. Step 2: Convert to fraction form
    8,308/9,694 = 9,694/x
  3. Step 3: Cross multiply
    8,308x = 9,694 × 9,694
  4. Step 4: Simplify right side
    8,308x = 93,973,636
  5. Step 5: Solve for x
    x = 93,973,636/8,308
  6. Step 6: Final answer
    x = 11,311.22

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.