Finding the Third Proportional to 2,344 and 2,596
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Solution
The third proportional to 2,344 and 2,596 is: 2,875.09
Step by Step Solution
- Step 1: Write the proportion equation
2,344 : 2,596 = 2,596 : x - Step 2: Convert to fraction form
2,344/2,596 = 2,596/x - Step 3: Cross multiply
2,344x = 2,596 × 2,596 - Step 4: Simplify right side
2,344x = 6,739,216 - Step 5: Solve for x
x = 6,739,216/2,344 - Step 6: Final answer
x = 2,875.09
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.