Finding the Third Proportional to 12,822 and 18,778
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Solution
The third proportional to 12,822 and 18,778 is: 27,500.65
Step by Step Solution
- Step 1: Write the proportion equation
12,822 : 18,778 = 18,778 : x - Step 2: Convert to fraction form
12,822/18,778 = 18,778/x - Step 3: Cross multiply
12,822x = 18,778 × 18,778 - Step 4: Simplify right side
12,822x = 352,613,284 - Step 5: Solve for x
x = 352,613,284/12,822 - Step 6: Final answer
x = 27,500.65
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.