Finding the Third Proportional to 2,574 and 2,751
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Solution
The third proportional to 2,574 and 2,751 is: 2,940.17
Step by Step Solution
- Step 1: Write the proportion equation
2,574 : 2,751 = 2,751 : x - Step 2: Convert to fraction form
2,574/2,751 = 2,751/x - Step 3: Cross multiply
2,574x = 2,751 × 2,751 - Step 4: Simplify right side
2,574x = 7,568,001 - Step 5: Solve for x
x = 7,568,001/2,574 - Step 6: Final answer
x = 2,940.17
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.