Finding the Third Proportional to 962 and 1,950
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Solution
The third proportional to 962 and 1,950 is: 3,952.70
Step by Step Solution
- Step 1: Write the proportion equation
962 : 1,950 = 1,950 : x - Step 2: Convert to fraction form
962/1,950 = 1,950/x - Step 3: Cross multiply
962x = 1,950 × 1,950 - Step 4: Simplify right side
962x = 3,802,500 - Step 5: Solve for x
x = 3,802,500/962 - Step 6: Final answer
x = 3,952.70
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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.