Finding the Third Proportional to 775 and 1,672
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Solution
The third proportional to 775 and 1,672 is: 3,607.21
Step by Step Solution
- Step 1: Write the proportion equation
775 : 1,672 = 1,672 : x - Step 2: Convert to fraction form
775/1,672 = 1,672/x - Step 3: Cross multiply
775x = 1,672 × 1,672 - Step 4: Simplify right side
775x = 2,795,584 - Step 5: Solve for x
x = 2,795,584/775 - Step 6: Final answer
x = 3,607.21
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.