Finding the Third Proportional to 834 and 1,695
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Solution
The third proportional to 834 and 1,695 is: 3,444.87
Step by Step Solution
- Step 1: Write the proportion equation
834 : 1,695 = 1,695 : x - Step 2: Convert to fraction form
834/1,695 = 1,695/x - Step 3: Cross multiply
834x = 1,695 × 1,695 - Step 4: Simplify right side
834x = 2,873,025 - Step 5: Solve for x
x = 2,873,025/834 - Step 6: Final answer
x = 3,444.87
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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.