Finding the Third Proportional to 5,730 and 12,425
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Solution
The third proportional to 5,730 and 12,425 is: 26,942.52
Step by Step Solution
- Step 1: Write the proportion equation
5,730 : 12,425 = 12,425 : x - Step 2: Convert to fraction form
5,730/12,425 = 12,425/x - Step 3: Cross multiply
5,730x = 12,425 × 12,425 - Step 4: Simplify right side
5,730x = 154,380,625 - Step 5: Solve for x
x = 154,380,625/5,730 - Step 6: Final answer
x = 26,942.52
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.