Finding the Third Proportional to 2,497 and 3,596
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Solution
The third proportional to 2,497 and 3,596 is: 5,178.70
Step by Step Solution
- Step 1: Write the proportion equation
2,497 : 3,596 = 3,596 : x - Step 2: Convert to fraction form
2,497/3,596 = 3,596/x - Step 3: Cross multiply
2,497x = 3,596 × 3,596 - Step 4: Simplify right side
2,497x = 12,931,216 - Step 5: Solve for x
x = 12,931,216/2,497 - Step 6: Final answer
x = 5,178.70
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.