Finding the Third Proportional to 21,082 and 32,902
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Solution
The third proportional to 21,082 and 32,902 is: 51,349.09
Step by Step Solution
- Step 1: Write the proportion equation
21,082 : 32,902 = 32,902 : x - Step 2: Convert to fraction form
21,082/32,902 = 32,902/x - Step 3: Cross multiply
21,082x = 32,902 × 32,902 - Step 4: Simplify right side
21,082x = 1,082,541,604 - Step 5: Solve for x
x = 1,082,541,604/21,082 - Step 6: Final answer
x = 51,349.09
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.