  In the first experimental realization of dilute Bose-Bose liquid drops using
two hyperfine states of $^{39}$K some discrepancies between theory and
experiment were observed. The standard analysis of the data using the
Lee-Huang-Yang beyond mean-field theory predicted critical numbers which were
significantly off the experimental measurements. Also, the radial size of the
drops in the experiment proved to be larger than expected from this theory.
Using a new functional, which is based on quantum Monte Carlo results of the
bulk phase incorporating finite-range effects, we can explain the origin of the
discrepancies in the critical number. This result proves the necessity of
including finite-range corrections to deal with the observed properties in this
setup. The controversy on the radial size is reasoned in terms of the departure
from the optimal concentration ratio between the two species of the mixture.
