Finding the Third Proportional to 11,367 and 23,284
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Solution
The third proportional to 11,367 and 23,284 is: 47,694.61
Step by Step Solution
- Step 1: Write the proportion equation
11,367 : 23,284 = 23,284 : x - Step 2: Convert to fraction form
11,367/23,284 = 23,284/x - Step 3: Cross multiply
11,367x = 23,284 × 23,284 - Step 4: Simplify right side
11,367x = 542,144,656 - Step 5: Solve for x
x = 542,144,656/11,367 - Step 6: Final answer
x = 47,694.61
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.