Finding the Third Proportional to 746 and 1,984
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Solution
The third proportional to 746 and 1,984 is: 5,276.48
Step by Step Solution
- Step 1: Write the proportion equation
746 : 1,984 = 1,984 : x - Step 2: Convert to fraction form
746/1,984 = 1,984/x - Step 3: Cross multiply
746x = 1,984 × 1,984 - Step 4: Simplify right side
746x = 3,936,256 - Step 5: Solve for x
x = 3,936,256/746 - Step 6: Final answer
x = 5,276.48
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Why These Related Problems?
These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.