Finding the Third Proportional to 21,794 and 47,042
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Solution
The third proportional to 21,794 and 47,042 is: 101,539.40
Step by Step Solution
- Step 1: Write the proportion equation
21,794 : 47,042 = 47,042 : x - Step 2: Convert to fraction form
21,794/47,042 = 47,042/x - Step 3: Cross multiply
21,794x = 47,042 × 47,042 - Step 4: Simplify right side
21,794x = 2,212,949,764 - Step 5: Solve for x
x = 2,212,949,764/21,794 - Step 6: Final answer
x = 101,539.40
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.