Finding the Third Proportional to 20,346 and 41,947
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Solution
The third proportional to 20,346 and 41,947 is: 86,481.41
Step by Step Solution
- Step 1: Write the proportion equation
20,346 : 41,947 = 41,947 : x - Step 2: Convert to fraction form
20,346/41,947 = 41,947/x - Step 3: Cross multiply
20,346x = 41,947 × 41,947 - Step 4: Simplify right side
20,346x = 1,759,550,809 - Step 5: Solve for x
x = 1,759,550,809/20,346 - Step 6: Final answer
x = 86,481.41
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.