Finding the Third Proportional to 9,764 and 10,674
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Solution
The third proportional to 9,764 and 10,674 is: 11,668.81
Step by Step Solution
- Step 1: Write the proportion equation
9,764 : 10,674 = 10,674 : x - Step 2: Convert to fraction form
9,764/10,674 = 10,674/x - Step 3: Cross multiply
9,764x = 10,674 × 10,674 - Step 4: Simplify right side
9,764x = 113,934,276 - Step 5: Solve for x
x = 113,934,276/9,764 - Step 6: Final answer
x = 11,668.81
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.