Finding the Third Proportional to 807 and 1,734
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Solution
The third proportional to 807 and 1,734 is: 3,725.84
Step by Step Solution
- Step 1: Write the proportion equation
807 : 1,734 = 1,734 : x - Step 2: Convert to fraction form
807/1,734 = 1,734/x - Step 3: Cross multiply
807x = 1,734 × 1,734 - Step 4: Simplify right side
807x = 3,006,756 - Step 5: Solve for x
x = 3,006,756/807 - Step 6: Final answer
x = 3,725.84
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.