Finding the Third Proportional to 2,774 and 3,046
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Solution
The third proportional to 2,774 and 3,046 is: 3,344.67
Step by Step Solution
- Step 1: Write the proportion equation
2,774 : 3,046 = 3,046 : x - Step 2: Convert to fraction form
2,774/3,046 = 3,046/x - Step 3: Cross multiply
2,774x = 3,046 × 3,046 - Step 4: Simplify right side
2,774x = 9,278,116 - Step 5: Solve for x
x = 9,278,116/2,774 - Step 6: Final answer
x = 3,344.67
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.