Finding the Third Proportional to 6,022 and 14,074
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Solution
The third proportional to 6,022 and 14,074 is: 32,892.31
Step by Step Solution
- Step 1: Write the proportion equation
6,022 : 14,074 = 14,074 : x - Step 2: Convert to fraction form
6,022/14,074 = 14,074/x - Step 3: Cross multiply
6,022x = 14,074 × 14,074 - Step 4: Simplify right side
6,022x = 198,077,476 - Step 5: Solve for x
x = 198,077,476/6,022 - Step 6: Final answer
x = 32,892.31
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.