Finding the Third Proportional to 11,778 and 25,743
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Solution
The third proportional to 11,778 and 25,743 is: 56,266.09
Step by Step Solution
- Step 1: Write the proportion equation
11,778 : 25,743 = 25,743 : x - Step 2: Convert to fraction form
11,778/25,743 = 25,743/x - Step 3: Cross multiply
11,778x = 25,743 × 25,743 - Step 4: Simplify right side
11,778x = 662,702,049 - Step 5: Solve for x
x = 662,702,049/11,778 - Step 6: Final answer
x = 56,266.09
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.