Finding the Third Proportional to 21,882 and 33,947
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Solution
The third proportional to 21,882 and 33,947 is: 52,664.24
Step by Step Solution
- Step 1: Write the proportion equation
21,882 : 33,947 = 33,947 : x - Step 2: Convert to fraction form
21,882/33,947 = 33,947/x - Step 3: Cross multiply
21,882x = 33,947 × 33,947 - Step 4: Simplify right side
21,882x = 1,152,398,809 - Step 5: Solve for x
x = 1,152,398,809/21,882 - Step 6: Final answer
x = 52,664.24
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.