Finding the Third Proportional to 8,364 and 9,444
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Solution
The third proportional to 8,364 and 9,444 is: 10,663.45
Step by Step Solution
- Step 1: Write the proportion equation
8,364 : 9,444 = 9,444 : x - Step 2: Convert to fraction form
8,364/9,444 = 9,444/x - Step 3: Cross multiply
8,364x = 9,444 × 9,444 - Step 4: Simplify right side
8,364x = 89,189,136 - Step 5: Solve for x
x = 89,189,136/8,364 - Step 6: Final answer
x = 10,663.45
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.