Contracts are different in each county. For example, here in Montgomery County if the tax proration is left blank it is assumed "short proration". If you are working with a Realtor, then I would definately ask them. If not, please let me know and I will refer you to an area specialist.

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That depends on the language of the rest of the contract. Why didn't it have a closing date when all contracts have closing language. Was the date left out for a reason and what was that reason? Your realtor or there's should have a reason and be able to answer that for you.