Finding the Third Proportional to 10,449 and 22,804
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Solution
The third proportional to 10,449 and 22,804 is: 49,767.67
Step by Step Solution
- Step 1: Write the proportion equation
10,449 : 22,804 = 22,804 : x - Step 2: Convert to fraction form
10,449/22,804 = 22,804/x - Step 3: Cross multiply
10,449x = 22,804 × 22,804 - Step 4: Simplify right side
10,449x = 520,022,416 - Step 5: Solve for x
x = 520,022,416/10,449 - Step 6: Final answer
x = 49,767.67
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.