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Finding the Third Proportional to 8,469 and 9,704.25

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Solution

The third proportional to 8,469 and 9,704.25 is: 11,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469 : 9,704.25 = 9,704.25 : x
  2. Step 2: Convert to fraction form
    8,469/9,704.25 = 9,704.25/x
  3. Step 3: Cross multiply
    8,469x = 9,704.25 × 9,704.25
  4. Step 4: Simplify right side
    8,469x = 94,172,468.06
  5. Step 5: Solve for x
    x = 94,172,468.06/8,469
  6. Step 6: Final answer
    x = 11,119.67

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.