Finding the Third Proportional to 12,822 and 27,596
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Solution
The third proportional to 12,822 and 27,596 is: 59,393.17
Step by Step Solution
- Step 1: Write the proportion equation
12,822 : 27,596 = 27,596 : x - Step 2: Convert to fraction form
12,822/27,596 = 27,596/x - Step 3: Cross multiply
12,822x = 27,596 × 27,596 - Step 4: Simplify right side
12,822x = 761,539,216 - Step 5: Solve for x
x = 761,539,216/12,822 - Step 6: Final answer
x = 59,393.17
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.