Finding the Third Proportional to 11,540 and 15,414
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Solution
The third proportional to 11,540 and 15,414 is: 20,588.51
Step by Step Solution
- Step 1: Write the proportion equation
11,540 : 15,414 = 15,414 : x - Step 2: Convert to fraction form
11,540/15,414 = 15,414/x - Step 3: Cross multiply
11,540x = 15,414 × 15,414 - Step 4: Simplify right side
11,540x = 237,591,396 - Step 5: Solve for x
x = 237,591,396/11,540 - Step 6: Final answer
x = 20,588.51
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.