Finding the Third Proportional to 2,706 and 5,898
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Solution
The third proportional to 2,706 and 5,898 is: 12,855.29
Step by Step Solution
- Step 1: Write the proportion equation
2,706 : 5,898 = 5,898 : x - Step 2: Convert to fraction form
2,706/5,898 = 5,898/x - Step 3: Cross multiply
2,706x = 5,898 × 5,898 - Step 4: Simplify right side
2,706x = 34,786,404 - Step 5: Solve for x
x = 34,786,404/2,706 - Step 6: Final answer
x = 12,855.29
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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.