Finding the Third Proportional to 10,162 and 21,944
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Solution
The third proportional to 10,162 and 21,944 is: 47,386.26
Step by Step Solution
- Step 1: Write the proportion equation
10,162 : 21,944 = 21,944 : x - Step 2: Convert to fraction form
10,162/21,944 = 21,944/x - Step 3: Cross multiply
10,162x = 21,944 × 21,944 - Step 4: Simplify right side
10,162x = 481,539,136 - Step 5: Solve for x
x = 481,539,136/10,162 - Step 6: Final answer
x = 47,386.26
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.