Finding the Third Proportional to 13,546 and 21,831
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Solution
The third proportional to 13,546 and 21,831 is: 35,183.27
Step by Step Solution
- Step 1: Write the proportion equation
13,546 : 21,831 = 21,831 : x - Step 2: Convert to fraction form
13,546/21,831 = 21,831/x - Step 3: Cross multiply
13,546x = 21,831 × 21,831 - Step 4: Simplify right side
13,546x = 476,592,561 - Step 5: Solve for x
x = 476,592,561/13,546 - Step 6: Final answer
x = 35,183.27
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.