Finding the Third Proportional to 9,174 and 13,866
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Solution
The third proportional to 9,174 and 13,866 is: 20,957.70
Step by Step Solution
- Step 1: Write the proportion equation
9,174 : 13,866 = 13,866 : x - Step 2: Convert to fraction form
9,174/13,866 = 13,866/x - Step 3: Cross multiply
9,174x = 13,866 × 13,866 - Step 4: Simplify right side
9,174x = 192,265,956 - Step 5: Solve for x
x = 192,265,956/9,174 - Step 6: Final answer
x = 20,957.70
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.