Finding the Third Proportional to 700 and 1,695
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Solution
The third proportional to 700 and 1,695 is: 4,104.32
Step by Step Solution
- Step 1: Write the proportion equation
700 : 1,695 = 1,695 : x - Step 2: Convert to fraction form
700/1,695 = 1,695/x - Step 3: Cross multiply
700x = 1,695 × 1,695 - Step 4: Simplify right side
700x = 2,873,025 - Step 5: Solve for x
x = 2,873,025/700 - Step 6: Final answer
x = 4,104.32
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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.