Finding the Third Proportional to 1,731 and 3,774
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Solution
The third proportional to 1,731 and 3,774 is: 8,228.24
Step by Step Solution
- Step 1: Write the proportion equation
1,731 : 3,774 = 3,774 : x - Step 2: Convert to fraction form
1,731/3,774 = 3,774/x - Step 3: Cross multiply
1,731x = 3,774 × 3,774 - Step 4: Simplify right side
1,731x = 14,243,076 - Step 5: Solve for x
x = 14,243,076/1,731 - Step 6: Final answer
x = 8,228.24
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.