Finding the Third Proportional to 9,576 and 19,152
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Solution
The third proportional to 9,576 and 19,152 is: 38,304
Step by Step Solution
- Step 1: Write the proportion equation
9,576 : 19,152 = 19,152 : x - Step 2: Convert to fraction form
9,576/19,152 = 19,152/x - Step 3: Cross multiply
9,576x = 19,152 × 19,152 - Step 4: Simplify right side
9,576x = 366,799,104 - Step 5: Solve for x
x = 366,799,104/9,576 - Step 6: Final answer
x = 38,304
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Why These Related Problems?
These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.