Finding the Third Proportional to 11,578 and 17,939
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Solution
The third proportional to 11,578 and 17,939 is: 27,794.76
Step by Step Solution
- Step 1: Write the proportion equation
11,578 : 17,939 = 17,939 : x - Step 2: Convert to fraction form
11,578/17,939 = 17,939/x - Step 3: Cross multiply
11,578x = 17,939 × 17,939 - Step 4: Simplify right side
11,578x = 321,807,721 - Step 5: Solve for x
x = 321,807,721/11,578 - Step 6: Final answer
x = 27,794.76
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.