Finding the Third Proportional to 3,282 and 7,658
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Solution
The third proportional to 3,282 and 7,658 is: 17,868.67
Step by Step Solution
- Step 1: Write the proportion equation
3,282 : 7,658 = 7,658 : x - Step 2: Convert to fraction form
3,282/7,658 = 7,658/x - Step 3: Cross multiply
3,282x = 7,658 × 7,658 - Step 4: Simplify right side
3,282x = 58,644,964 - Step 5: Solve for x
x = 58,644,964/3,282 - Step 6: Final answer
x = 17,868.67
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.