Finding the Third Proportional to 19,424 and 41,617.50
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Solution
The third proportional to 19,424 and 41,617.50 is: 89,168.88
Step by Step Solution
- Step 1: Write the proportion equation
19,424 : 41,617.50 = 41,617.50 : x - Step 2: Convert to fraction form
19,424/41,617.50 = 41,617.50/x - Step 3: Cross multiply
19,424x = 41,617.50 × 41,617.50 - Step 4: Simplify right side
19,424x = 1,732,016,306.25 - Step 5: Solve for x
x = 1,732,016,306.25/19,424 - Step 6: Final answer
x = 89,168.88
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.