Finding the Third Proportional to 24,016.50 and 49,221
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Solution
The third proportional to 24,016.50 and 49,221 is: 100,876.77
Step by Step Solution
- Step 1: Write the proportion equation
24,016.50 : 49,221 = 49,221 : x - Step 2: Convert to fraction form
24,016.50/49,221 = 49,221/x - Step 3: Cross multiply
24,016.50x = 49,221 × 49,221 - Step 4: Simplify right side
24,016.50x = 2,422,706,841 - Step 5: Solve for x
x = 2,422,706,841/24,016.50 - Step 6: Final answer
x = 100,876.77
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.