Finding the Third Proportional to 5,706 and 11,638.50
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Solution
The third proportional to 5,706 and 11,638.50 is: 23,738.99
Step by Step Solution
- Step 1: Write the proportion equation
5,706 : 11,638.50 = 11,638.50 : x - Step 2: Convert to fraction form
5,706/11,638.50 = 11,638.50/x - Step 3: Cross multiply
5,706x = 11,638.50 × 11,638.50 - Step 4: Simplify right side
5,706x = 135,454,682.25 - Step 5: Solve for x
x = 135,454,682.25/5,706 - Step 6: Final answer
x = 23,738.99
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.