Finding the Third Proportional to 7,296 and 11,269
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Solution
The third proportional to 7,296 and 11,269 is: 17,405.48
Step by Step Solution
- Step 1: Write the proportion equation
7,296 : 11,269 = 11,269 : x - Step 2: Convert to fraction form
7,296/11,269 = 11,269/x - Step 3: Cross multiply
7,296x = 11,269 × 11,269 - Step 4: Simplify right side
7,296x = 126,990,361 - Step 5: Solve for x
x = 126,990,361/7,296 - Step 6: Final answer
x = 17,405.48
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.