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CALC-E3 • E. Pharmaceutical & Compounding Calculators

Alligation Alternate Calculator (Two-Strength Mixing)

Calculates exact volumes/weights of a higher-strength (CH) and lower-strength (CL) preparation needed to compound a desired intermediate strength (CD).

⚠️ Educational Calculation & Clinical Safety Safeguard: Desired concentration CD must lie strictly between CL and CH (CL < CD < CH). Educational calculations do not replace clinician assessment, patient-specific laboratory monitoring, or institutional prescribing protocols.

Interactive Calculator

Allowed physiological/compounding range: 0.1 to 100 %
Allowed physiological/compounding range: 0 to 99.9 %
Allowed physiological/compounding range: 0.05 to 99.95 %
Allowed physiological/compounding range: 1 to 50000 mL or g
Calculated Output (mL of CH & mL of CL)
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Step-by-Step Mathematical Derivation & Explanation:

    Validated Formula & Conversion Rules

    Parts of CH = CD − CL; Parts of CL = CH − CD; Total Parts = CH − CL; Volume(CH) = Final Volume × [Parts(CH) / Total Parts]

    Worked Clinical Example

    Prepare 450 mL of Dextrose 10% (D10W) from D50W (50%) and D5W (5%): Parts D50W = 10 − 5 = 5; Parts D5W = 50 − 10 = 40 (Total 45 parts). Volume D50W = 450 × (5/45) = 50 mL; Volume D5W = 450 × (40/45) = 400 mL.

    Rounding Rules, Assumptions & Source References