Finding the Third Proportional to 12,416 and 27,015.50
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Solution
The third proportional to 12,416 and 27,015.50 is: 58,781.99
Step by Step Solution
- Step 1: Write the proportion equation
12,416 : 27,015.50 = 27,015.50 : x - Step 2: Convert to fraction form
12,416/27,015.50 = 27,015.50/x - Step 3: Cross multiply
12,416x = 27,015.50 × 27,015.50 - Step 4: Simplify right side
12,416x = 729,837,240.25 - Step 5: Solve for x
x = 729,837,240.25/12,416 - Step 6: Final answer
x = 58,781.99
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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.