If you start following those hashtags, you'll see others sharing articles. If you read one you think is applicable to others in your industry, you can simply hit retweet and share that via your feed.
This will do two things for you. First, you're adding related content to your feed. Second, the person you re-tweet will see you've retweeted them. Do this regularly enough, and they'll often follow you back. At the very least, it can start a conversation between the two of you.
You'll also want to tag your own tweets with hashtags. This will introduce you to new people.