Finding the Third Proportional to 6,827.63 and 14,604.26
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Solution
The third proportional to 6,827.63 and 14,604.26 is: 31,238.44
Step by Step Solution
- Step 1: Write the proportion equation
6,827.63 : 14,604.26 = 14,604.26 : x - Step 2: Convert to fraction form
6,827.63/14,604.26 = 14,604.26/x - Step 3: Cross multiply
6,827.63x = 14,604.26 × 14,604.26 - Step 4: Simplify right side
6,827.63x = 213,284,346.25 - Step 5: Solve for x
x = 213,284,346.25/6,827.63 - Step 6: Final answer
x = 31,238.44
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.