Finding the Third Proportional to 10,296 and 13,728
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Solution
The third proportional to 10,296 and 13,728 is: 18,304
Step by Step Solution
- Step 1: Write the proportion equation
10,296 : 13,728 = 13,728 : x - Step 2: Convert to fraction form
10,296/13,728 = 13,728/x - Step 3: Cross multiply
10,296x = 13,728 × 13,728 - Step 4: Simplify right side
10,296x = 188,457,984 - Step 5: Solve for x
x = 188,457,984/10,296 - Step 6: Final answer
x = 18,304
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.