Finding the Third Proportional to 11,472.75 and 24,324.19
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Solution
The third proportional to 11,472.75 and 24,324.19 is: 51,571.43
Step by Step Solution
- Step 1: Write the proportion equation
11,472.75 : 24,324.19 = 24,324.19 : x - Step 2: Convert to fraction form
11,472.75/24,324.19 = 24,324.19/x - Step 3: Cross multiply
11,472.75x = 24,324.19 × 24,324.19 - Step 4: Simplify right side
11,472.75x = 591,666,097.54 - Step 5: Solve for x
x = 591,666,097.54/11,472.75 - Step 6: Final answer
x = 51,571.43
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.