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To find the value of x when y is 30, we can set up a proportion based on the direct variation relationship:
y1 / x1 = y2 / x2
Plugging in the given values:
12 / 5 = 30 / x2
Cross multiplying:
12x2 = 150
Solving for x2:
x2 = 150 / 12
x2 = 12.5
Therefore, the value of x when y is 30 is 12.5.