Finding the Third Proportional to 962 and 1,668
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Solution
The third proportional to 962 and 1,668 is: 2,892.12
Step by Step Solution
- Step 1: Write the proportion equation
962 : 1,668 = 1,668 : x - Step 2: Convert to fraction form
962/1,668 = 1,668/x - Step 3: Cross multiply
962x = 1,668 × 1,668 - Step 4: Simplify right side
962x = 2,782,224 - Step 5: Solve for x
x = 2,782,224/962 - Step 6: Final answer
x = 2,892.12
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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.