Finding the Third Proportional to 1,746 and 3,828
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Solution
The third proportional to 1,746 and 3,828 is: 8,392.66
Step by Step Solution
- Step 1: Write the proportion equation
1,746 : 3,828 = 3,828 : x - Step 2: Convert to fraction form
1,746/3,828 = 3,828/x - Step 3: Cross multiply
1,746x = 3,828 × 3,828 - Step 4: Simplify right side
1,746x = 14,653,584 - Step 5: Solve for x
x = 14,653,584/1,746 - Step 6: Final answer
x = 8,392.66
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.