Finding the Third Proportional to 10,638 and 22,724
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Solution
The third proportional to 10,638 and 22,724 is: 48,541.10
Step by Step Solution
- Step 1: Write the proportion equation
10,638 : 22,724 = 22,724 : x - Step 2: Convert to fraction form
10,638/22,724 = 22,724/x - Step 3: Cross multiply
10,638x = 22,724 × 22,724 - Step 4: Simplify right side
10,638x = 516,380,176 - Step 5: Solve for x
x = 516,380,176/10,638 - Step 6: Final answer
x = 48,541.10
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.