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Finding the Third Proportional to 9,396.75 and 21,960.38

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Solution

The third proportional to 9,396.75 and 21,960.38 is: 51,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.75 : 21,960.38 = 21,960.38 : x
  2. Step 2: Convert to fraction form
    9,396.75/21,960.38 = 21,960.38/x
  3. Step 3: Cross multiply
    9,396.75x = 21,960.38 × 21,960.38
  4. Step 4: Simplify right side
    9,396.75x = 482,258,070.14
  5. Step 5: Solve for x
    x = 482,258,070.14/9,396.75
  6. Step 6: Final answer
    x = 51,321.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.