Finding the Third Proportional to 1,701 and 3,645
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Solution
The third proportional to 1,701 and 3,645 is: 7,810.71
Step by Step Solution
- Step 1: Write the proportion equation
1,701 : 3,645 = 3,645 : x - Step 2: Convert to fraction form
1,701/3,645 = 3,645/x - Step 3: Cross multiply
1,701x = 3,645 × 3,645 - Step 4: Simplify right side
1,701x = 13,286,025 - Step 5: Solve for x
x = 13,286,025/1,701 - Step 6: Final answer
x = 7,810.71
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.