Finding the Third Proportional to 13,784 and 17,936
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Solution
The third proportional to 13,784 and 17,936 is: 23,338.66
Step by Step Solution
- Step 1: Write the proportion equation
13,784 : 17,936 = 17,936 : x - Step 2: Convert to fraction form
13,784/17,936 = 17,936/x - Step 3: Cross multiply
13,784x = 17,936 × 17,936 - Step 4: Simplify right side
13,784x = 321,700,096 - Step 5: Solve for x
x = 321,700,096/13,784 - Step 6: Final answer
x = 23,338.66
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Why These Related Problems?
These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.