Finding the Third Proportional to 21,822 and 32,841
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Solution
The third proportional to 21,822 and 32,841 is: 49,424.03
Step by Step Solution
- Step 1: Write the proportion equation
21,822 : 32,841 = 32,841 : x - Step 2: Convert to fraction form
21,822/32,841 = 32,841/x - Step 3: Cross multiply
21,822x = 32,841 × 32,841 - Step 4: Simplify right side
21,822x = 1,078,531,281 - Step 5: Solve for x
x = 1,078,531,281/21,822 - Step 6: Final answer
x = 49,424.03
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.