Finding the Third Proportional to 10,724 and 13,100
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Solution
The third proportional to 10,724 and 13,100 is: 16,002.42
Step by Step Solution
- Step 1: Write the proportion equation
10,724 : 13,100 = 13,100 : x - Step 2: Convert to fraction form
10,724/13,100 = 13,100/x - Step 3: Cross multiply
10,724x = 13,100 × 13,100 - Step 4: Simplify right side
10,724x = 171,610,000 - Step 5: Solve for x
x = 171,610,000/10,724 - Step 6: Final answer
x = 16,002.42
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Why These Related Problems?
These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.