The relationship between data mining and machine learning is that both focus on extracting valuable insights from data, yet they serve different purposes. Data mining refers to the process of discovering patterns and information in large datasets, often utilizing statistical techniques. Machine learning, on the other hand, involves building algorithms that allow computers to learn from data and make predictions or decisions without explicit programming. While data mining can provide the initial insights needed to formulate models, machine learning applies these insights to create predictive models that adapt to new data over time.