Finding the Third Proportional to 22,870 and 49,948
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Solution
The third proportional to 22,870 and 49,948 is: 109,086.26
Step by Step Solution
- Step 1: Write the proportion equation
22,870 : 49,948 = 49,948 : x - Step 2: Convert to fraction form
22,870/49,948 = 49,948/x - Step 3: Cross multiply
22,870x = 49,948 × 49,948 - Step 4: Simplify right side
22,870x = 2,494,802,704 - Step 5: Solve for x
x = 2,494,802,704/22,870 - Step 6: Final answer
x = 109,086.26
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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.