1. **State the problem:** We have 73 students who started blogs. Among them, 29 write about literature and 29 write about other topics. We want to predict how many of the next 68 blogs will be about literature. 2. **Identify the formula:** To make predictions based on past data, we use proportions. The proportion of literature blogs so far is given by: $$\text{Proportion} = \frac{\text{Number of literature blogs}}{\text{Total blogs started}} = \frac{29}{73}$$ 3. **Apply the proportion to the next 68 blogs:** $$\text{Expected literature blogs} = \text{Proportion} \times \text{Next blogs} = \frac{29}{73} \times 68$$ 4. **Calculate the expected number:** $$\frac{29}{73} \times 68 = \frac{29 \times 68}{73}$$ 5. **Simplify the fraction:** Calculate numerator: $29 \times 68 = 1972$ So, $$\frac{1972}{73}$$ Divide 1972 by 73: $$1972 \div 73 = 27$$ 6. **Interpretation:** We expect about 27 of the next 68 blogs to be about literature based on the current proportion. **Final answer:** $$\boxed{27}$$