Finding the Third Proportional to 20,822 and 33,303
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Solution
The third proportional to 20,822 and 33,303 is: 53,265.29
Step by Step Solution
- Step 1: Write the proportion equation
20,822 : 33,303 = 33,303 : x - Step 2: Convert to fraction form
20,822/33,303 = 33,303/x - Step 3: Cross multiply
20,822x = 33,303 × 33,303 - Step 4: Simplify right side
20,822x = 1,109,089,809 - Step 5: Solve for x
x = 1,109,089,809/20,822 - Step 6: Final answer
x = 53,265.29
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.