Finding the Third Proportional to 9,504 and 10,296
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Solution
The third proportional to 9,504 and 10,296 is: 11,154
Step by Step Solution
- Step 1: Write the proportion equation
9,504 : 10,296 = 10,296 : x - Step 2: Convert to fraction form
9,504/10,296 = 10,296/x - Step 3: Cross multiply
9,504x = 10,296 × 10,296 - Step 4: Simplify right side
9,504x = 106,007,616 - Step 5: Solve for x
x = 106,007,616/9,504 - Step 6: Final answer
x = 11,154
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.