Finding the Third Proportional to 9,676 and 14,684
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Solution
The third proportional to 9,676 and 14,684 is: 22,283.99
Step by Step Solution
- Step 1: Write the proportion equation
9,676 : 14,684 = 14,684 : x - Step 2: Convert to fraction form
9,676/14,684 = 14,684/x - Step 3: Cross multiply
9,676x = 14,684 × 14,684 - Step 4: Simplify right side
9,676x = 215,619,856 - Step 5: Solve for x
x = 215,619,856/9,676 - Step 6: Final answer
x = 22,283.99
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.