Finding the Third Proportional to 2,296 and 3,692
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Solution
The third proportional to 2,296 and 3,692 is: 5,936.79
Step by Step Solution
- Step 1: Write the proportion equation
2,296 : 3,692 = 3,692 : x - Step 2: Convert to fraction form
2,296/3,692 = 3,692/x - Step 3: Cross multiply
2,296x = 3,692 × 3,692 - Step 4: Simplify right side
2,296x = 13,630,864 - Step 5: Solve for x
x = 13,630,864/2,296 - Step 6: Final answer
x = 5,936.79
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.