Finding the Third Proportional to 9,576 and 21,072
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Solution
The third proportional to 9,576 and 21,072 is: 46,368.96
Step by Step Solution
- Step 1: Write the proportion equation
9,576 : 21,072 = 21,072 : x - Step 2: Convert to fraction form
9,576/21,072 = 21,072/x - Step 3: Cross multiply
9,576x = 21,072 × 21,072 - Step 4: Simplify right side
9,576x = 444,029,184 - Step 5: Solve for x
x = 444,029,184/9,576 - Step 6: Final answer
x = 46,368.96
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.