Finding the Third Proportional to 11,940 and 17,844
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Solution
The third proportional to 11,940 and 17,844 is: 26,667.36
Step by Step Solution
- Step 1: Write the proportion equation
11,940 : 17,844 = 17,844 : x - Step 2: Convert to fraction form
11,940/17,844 = 17,844/x - Step 3: Cross multiply
11,940x = 17,844 × 17,844 - Step 4: Simplify right side
11,940x = 318,408,336 - Step 5: Solve for x
x = 318,408,336/11,940 - Step 6: Final answer
x = 26,667.36
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.