Finding the Third Proportional to 11,997 and 14,022
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Solution
The third proportional to 11,997 and 14,022 is: 16,388.80
Step by Step Solution
- Step 1: Write the proportion equation
11,997 : 14,022 = 14,022 : x - Step 2: Convert to fraction form
11,997/14,022 = 14,022/x - Step 3: Cross multiply
11,997x = 14,022 × 14,022 - Step 4: Simplify right side
11,997x = 196,616,484 - Step 5: Solve for x
x = 196,616,484/11,997 - Step 6: Final answer
x = 16,388.80
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Why These Related Problems?
These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.