Finding the Third Proportional to 11,416 and 27,004
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Solution
The third proportional to 11,416 and 27,004 is: 63,876.67
Step by Step Solution
- Step 1: Write the proportion equation
11,416 : 27,004 = 27,004 : x - Step 2: Convert to fraction form
11,416/27,004 = 27,004/x - Step 3: Cross multiply
11,416x = 27,004 × 27,004 - Step 4: Simplify right side
11,416x = 729,216,016 - Step 5: Solve for x
x = 729,216,016/11,416 - Step 6: Final answer
x = 63,876.67
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Why These Related Problems?
These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.