to find this answer we use proportional reasoning.
3 cups of flour:2 teaspoons of vanilla
3:2
if 5 cups of flour are used then we adjust the ratio to keep it proportional
the vanilla is 'x' because we don't know the value (yet)
5:x
then we set it up in an equation and solve
3/2=5/x
2 multiplied by 5 divided by 3 x=3.33
5:3.33
you need 3.33 teaspoons of vanilla for 5 cups of flour