Finding the Third Proportional to 11,416 and 13,976
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Solution
The third proportional to 11,416 and 13,976 is: 17,110.07
Step by Step Solution
- Step 1: Write the proportion equation
11,416 : 13,976 = 13,976 : x - Step 2: Convert to fraction form
11,416/13,976 = 13,976/x - Step 3: Cross multiply
11,416x = 13,976 × 13,976 - Step 4: Simplify right side
11,416x = 195,328,576 - Step 5: Solve for x
x = 195,328,576/11,416 - Step 6: Final answer
x = 17,110.07
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Why These Related Problems?
These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.