Finding the Third Proportional to 6,424 and 14,036
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Solution
The third proportional to 6,424 and 14,036 is: 30,667.70
Step by Step Solution
- Step 1: Write the proportion equation
6,424 : 14,036 = 14,036 : x - Step 2: Convert to fraction form
6,424/14,036 = 14,036/x - Step 3: Cross multiply
6,424x = 14,036 × 14,036 - Step 4: Simplify right side
6,424x = 197,009,296 - Step 5: Solve for x
x = 197,009,296/6,424 - Step 6: Final answer
x = 30,667.70
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.