Finding the Third Proportional to 8,174 and 17,930
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Solution
The third proportional to 8,174 and 17,930 is: 39,330.18
Step by Step Solution
- Step 1: Write the proportion equation
8,174 : 17,930 = 17,930 : x - Step 2: Convert to fraction form
8,174/17,930 = 17,930/x - Step 3: Cross multiply
8,174x = 17,930 × 17,930 - Step 4: Simplify right side
8,174x = 321,484,900 - Step 5: Solve for x
x = 321,484,900/8,174 - Step 6: Final answer
x = 39,330.18
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.