Finding the Third Proportional to 10,400 and 21,286
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Solution
The third proportional to 10,400 and 21,286 is: 43,566.71
Step by Step Solution
- Step 1: Write the proportion equation
10,400 : 21,286 = 21,286 : x - Step 2: Convert to fraction form
10,400/21,286 = 21,286/x - Step 3: Cross multiply
10,400x = 21,286 × 21,286 - Step 4: Simplify right side
10,400x = 453,093,796 - Step 5: Solve for x
x = 453,093,796/10,400 - Step 6: Final answer
x = 43,566.71
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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.