Finding the Third Proportional to 980.50 and 1,577
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Solution
The third proportional to 980.50 and 1,577 is: 2,536.39
Step by Step Solution
- Step 1: Write the proportion equation
980.50 : 1,577 = 1,577 : x - Step 2: Convert to fraction form
980.50/1,577 = 1,577/x - Step 3: Cross multiply
980.50x = 1,577 × 1,577 - Step 4: Simplify right side
980.50x = 2,486,929 - Step 5: Solve for x
x = 2,486,929/980.50 - Step 6: Final answer
x = 2,536.39
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.