Finding the Third Proportional to 2,312 and 3,740
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Solution
The third proportional to 2,312 and 3,740 is: 6,050
Step by Step Solution
- Step 1: Write the proportion equation
2,312 : 3,740 = 3,740 : x - Step 2: Convert to fraction form
2,312/3,740 = 3,740/x - Step 3: Cross multiply
2,312x = 3,740 × 3,740 - Step 4: Simplify right side
2,312x = 13,987,600 - Step 5: Solve for x
x = 13,987,600/2,312 - Step 6: Final answer
x = 6,050
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Why These Related Problems?
These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.