Finding the Third Proportional to 19,224 and 30,844
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Solution
The third proportional to 19,224 and 30,844 is: 49,487.74
Step by Step Solution
- Step 1: Write the proportion equation
19,224 : 30,844 = 30,844 : x - Step 2: Convert to fraction form
19,224/30,844 = 30,844/x - Step 3: Cross multiply
19,224x = 30,844 × 30,844 - Step 4: Simplify right side
19,224x = 951,352,336 - Step 5: Solve for x
x = 951,352,336/19,224 - Step 6: Final answer
x = 49,487.74
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.