Solve for x.12.3 mg​ : 5 mLequals22 mg​ : x mL

Answer

Solving Proportions: Dosage Calculation

🔢 Solving for x in the Proportion

We are given a proportion that relates two concentrations:

12.3 mg : 5 mL = 22 mg : x mL

🔄 Step 1: Set up the equation

Use the concept of cross-multiplication:

12.3 × x = 22 × 5

🧮 Step 2: Perform the multiplication

Multiply the known values on the right side:

22 × 5 = 110

So the equation becomes:

12.3x = 110

➗ Step 3: Solve for x

Divide both sides of the equation by 12.3:

x = 110 ÷ 12.3

Calculate the result:

x ≈ 8.943 mL

✅ Final Answer: x ≈ 8.94 mL

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