Finding the Third Proportional to 6,539 and 14,290
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Solution
The third proportional to 6,539 and 14,290 is: 31,228.64
Step by Step Solution
- Step 1: Write the proportion equation
6,539 : 14,290 = 14,290 : x - Step 2: Convert to fraction form
6,539/14,290 = 14,290/x - Step 3: Cross multiply
6,539x = 14,290 × 14,290 - Step 4: Simplify right side
6,539x = 204,204,100 - Step 5: Solve for x
x = 204,204,100/6,539 - Step 6: Final answer
x = 31,228.64
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.