Finding the Third Proportional to 6,494 and 15,704
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Solution
The third proportional to 6,494 and 15,704 is: 37,975.92
Step by Step Solution
- Step 1: Write the proportion equation
6,494 : 15,704 = 15,704 : x - Step 2: Convert to fraction form
6,494/15,704 = 15,704/x - Step 3: Cross multiply
6,494x = 15,704 × 15,704 - Step 4: Simplify right side
6,494x = 246,615,616 - Step 5: Solve for x
x = 246,615,616/6,494 - Step 6: Final answer
x = 37,975.92
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Why These Related Problems?
These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.