[Rutherford]

The reaction: 2KI+Cl₂ 2KCl+I₂ is possible because chlorine is more reactive than iodine.
The reaction that bothers me is:
I₂+2KClO₃ 2KIO₃+Cl₂
How is it possible?

[Dan]

Both proceed for the same reason:

R₁ + Ox₁  R₂ + Ox₂

Here, R is the reductant, Ox is the oxidant.

If Ox₁ is a stronger oxidant than Ox₂, then the equilibrium lies to the right.

Q: For the second equation, can you identify which reagents are the reductants and which are the oxidants?

[Rutherford]

If I understood what you wanted to say: From the 1st reaction I see that Cl₂ is a stronger oxidant than I₂, that means that it is also a weaker reductant than I₂. In the second equation I₂ and Cl₂ are the reductants, but as I₂ is stronger the equilibrium shifts to the right. Good?