Finding the Third Proportional to 10,446 and 22,836
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Solution
The third proportional to 10,446 and 22,836 is: 49,921.78
Step by Step Solution
- Step 1: Write the proportion equation
10,446 : 22,836 = 22,836 : x - Step 2: Convert to fraction form
10,446/22,836 = 22,836/x - Step 3: Cross multiply
10,446x = 22,836 × 22,836 - Step 4: Simplify right side
10,446x = 521,482,896 - Step 5: Solve for x
x = 521,482,896/10,446 - Step 6: Final answer
x = 49,921.78
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.