Finding the Third Proportional to 2,312 and 5,372
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Solution
The third proportional to 2,312 and 5,372 is: 12,482
Step by Step Solution
- Step 1: Write the proportion equation
2,312 : 5,372 = 5,372 : x - Step 2: Convert to fraction form
2,312/5,372 = 5,372/x - Step 3: Cross multiply
2,312x = 5,372 × 5,372 - Step 4: Simplify right side
2,312x = 28,858,384 - Step 5: Solve for x
x = 28,858,384/2,312 - Step 6: Final answer
x = 12,482
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.