Finding the Third Proportional to 10,857 and 22,290
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Solution
The third proportional to 10,857 and 22,290 is: 45,762.56
Step by Step Solution
- Step 1: Write the proportion equation
10,857 : 22,290 = 22,290 : x - Step 2: Convert to fraction form
10,857/22,290 = 22,290/x - Step 3: Cross multiply
10,857x = 22,290 × 22,290 - Step 4: Simplify right side
10,857x = 496,844,100 - Step 5: Solve for x
x = 496,844,100/10,857 - Step 6: Final answer
x = 45,762.56
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.