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Finding the Third Proportional to 4,025.25 and 9,696.38

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Solution

The third proportional to 4,025.25 and 9,696.38 is: 23,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,025.25 : 9,696.38 = 9,696.38 : x
  2. Step 2: Convert to fraction form
    4,025.25/9,696.38 = 9,696.38/x
  3. Step 3: Cross multiply
    4,025.25x = 9,696.38 × 9,696.38
  4. Step 4: Simplify right side
    4,025.25x = 94,019,688.14
  5. Step 5: Solve for x
    x = 94,019,688.14/4,025.25
  6. Step 6: Final answer
    x = 23,357.48

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.