Finding the Third Proportional to 6,822 and 10,782
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Solution
The third proportional to 6,822 and 10,782 is: 17,040.68
Step by Step Solution
- Step 1: Write the proportion equation
6,822 : 10,782 = 10,782 : x - Step 2: Convert to fraction form
6,822/10,782 = 10,782/x - Step 3: Cross multiply
6,822x = 10,782 × 10,782 - Step 4: Simplify right side
6,822x = 116,251,524 - Step 5: Solve for x
x = 116,251,524/6,822 - Step 6: Final answer
x = 17,040.68
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.