Finding the Third Proportional to 815 and 1,693
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Solution
The third proportional to 815 and 1,693 is: 3,516.87
Step by Step Solution
- Step 1: Write the proportion equation
815 : 1,693 = 1,693 : x - Step 2: Convert to fraction form
815/1,693 = 1,693/x - Step 3: Cross multiply
815x = 1,693 × 1,693 - Step 4: Simplify right side
815x = 2,866,249 - Step 5: Solve for x
x = 2,866,249/815 - Step 6: Final answer
x = 3,516.87
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.