Finding the Third Proportional to 8,266 and 17,894
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Solution
The third proportional to 8,266 and 17,894 is: 38,736.42
Step by Step Solution
- Step 1: Write the proportion equation
8,266 : 17,894 = 17,894 : x - Step 2: Convert to fraction form
8,266/17,894 = 17,894/x - Step 3: Cross multiply
8,266x = 17,894 × 17,894 - Step 4: Simplify right side
8,266x = 320,195,236 - Step 5: Solve for x
x = 320,195,236/8,266 - Step 6: Final answer
x = 38,736.42
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.