Finding the Third Proportional to 13,822 and 30,236
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Solution
The third proportional to 13,822 and 30,236 is: 66,142.07
Step by Step Solution
- Step 1: Write the proportion equation
13,822 : 30,236 = 30,236 : x - Step 2: Convert to fraction form
13,822/30,236 = 30,236/x - Step 3: Cross multiply
13,822x = 30,236 × 30,236 - Step 4: Simplify right side
13,822x = 914,215,696 - Step 5: Solve for x
x = 914,215,696/13,822 - Step 6: Final answer
x = 66,142.07
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.