Finding the Third Proportional to 1,086 and 1,531
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Solution
The third proportional to 1,086 and 1,531 is: 2,158.34
Step by Step Solution
- Step 1: Write the proportion equation
1,086 : 1,531 = 1,531 : x - Step 2: Convert to fraction form
1,086/1,531 = 1,531/x - Step 3: Cross multiply
1,086x = 1,531 × 1,531 - Step 4: Simplify right side
1,086x = 2,343,961 - Step 5: Solve for x
x = 2,343,961/1,086 - Step 6: Final answer
x = 2,158.34
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.