Finding the Third Proportional to 21,800 and 30,698
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Solution
The third proportional to 21,800 and 30,698 is: 43,227.85
Step by Step Solution
- Step 1: Write the proportion equation
21,800 : 30,698 = 30,698 : x - Step 2: Convert to fraction form
21,800/30,698 = 30,698/x - Step 3: Cross multiply
21,800x = 30,698 × 30,698 - Step 4: Simplify right side
21,800x = 942,367,204 - Step 5: Solve for x
x = 942,367,204/21,800 - Step 6: Final answer
x = 43,227.85
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.