Finding the Third Proportional to 5,774 and 7,941
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Solution
The third proportional to 5,774 and 7,941 is: 10,921.28
Step by Step Solution
- Step 1: Write the proportion equation
5,774 : 7,941 = 7,941 : x - Step 2: Convert to fraction form
5,774/7,941 = 7,941/x - Step 3: Cross multiply
5,774x = 7,941 × 7,941 - Step 4: Simplify right side
5,774x = 63,059,481 - Step 5: Solve for x
x = 63,059,481/5,774 - Step 6: Final answer
x = 10,921.28
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.