Finding the Third Proportional to 10,923 and 16,474
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Solution
The third proportional to 10,923 and 16,474 is: 24,845.98
Step by Step Solution
- Step 1: Write the proportion equation
10,923 : 16,474 = 16,474 : x - Step 2: Convert to fraction form
10,923/16,474 = 16,474/x - Step 3: Cross multiply
10,923x = 16,474 × 16,474 - Step 4: Simplify right side
10,923x = 271,392,676 - Step 5: Solve for x
x = 271,392,676/10,923 - Step 6: Final answer
x = 24,845.98
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.