Finding the Third Proportional to 11,296 and 24,161
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Solution
The third proportional to 11,296 and 24,161 is: 51,677.93
Step by Step Solution
- Step 1: Write the proportion equation
11,296 : 24,161 = 24,161 : x - Step 2: Convert to fraction form
11,296/24,161 = 24,161/x - Step 3: Cross multiply
11,296x = 24,161 × 24,161 - Step 4: Simplify right side
11,296x = 583,753,921 - Step 5: Solve for x
x = 583,753,921/11,296 - Step 6: Final answer
x = 51,677.93
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.