Finding the Third Proportional to 12,276 and 13,896
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Solution
The third proportional to 12,276 and 13,896 is: 15,729.78
Step by Step Solution
- Step 1: Write the proportion equation
12,276 : 13,896 = 13,896 : x - Step 2: Convert to fraction form
12,276/13,896 = 13,896/x - Step 3: Cross multiply
12,276x = 13,896 × 13,896 - Step 4: Simplify right side
12,276x = 193,098,816 - Step 5: Solve for x
x = 193,098,816/12,276 - Step 6: Final answer
x = 15,729.78
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.