Finding the Third Proportional to 11,940 and 13,164
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Solution
The third proportional to 11,940 and 13,164 is: 14,513.48
Step by Step Solution
- Step 1: Write the proportion equation
11,940 : 13,164 = 13,164 : x - Step 2: Convert to fraction form
11,940/13,164 = 13,164/x - Step 3: Cross multiply
11,940x = 13,164 × 13,164 - Step 4: Simplify right side
11,940x = 173,290,896 - Step 5: Solve for x
x = 173,290,896/11,940 - Step 6: Final answer
x = 14,513.48
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.