Finding the Third Proportional to 20,736 and 31,872
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Solution
The third proportional to 20,736 and 31,872 is: 48,988.44
Step by Step Solution
- Step 1: Write the proportion equation
20,736 : 31,872 = 31,872 : x - Step 2: Convert to fraction form
20,736/31,872 = 31,872/x - Step 3: Cross multiply
20,736x = 31,872 × 31,872 - Step 4: Simplify right side
20,736x = 1,015,824,384 - Step 5: Solve for x
x = 1,015,824,384/20,736 - Step 6: Final answer
x = 48,988.44
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.