Finding the Third Proportional to 22,768 and 49,424
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Solution
The third proportional to 22,768 and 49,424 is: 107,287.94
Step by Step Solution
- Step 1: Write the proportion equation
22,768 : 49,424 = 49,424 : x - Step 2: Convert to fraction form
22,768/49,424 = 49,424/x - Step 3: Cross multiply
22,768x = 49,424 × 49,424 - Step 4: Simplify right side
22,768x = 2,442,731,776 - Step 5: Solve for x
x = 2,442,731,776/22,768 - Step 6: Final answer
x = 107,287.94
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.