Finding the Third Proportional to 13,716 and 32,049
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Solution
The third proportional to 13,716 and 32,049 is: 74,886.15
Step by Step Solution
- Step 1: Write the proportion equation
13,716 : 32,049 = 32,049 : x - Step 2: Convert to fraction form
13,716/32,049 = 32,049/x - Step 3: Cross multiply
13,716x = 32,049 × 32,049 - Step 4: Simplify right side
13,716x = 1,027,138,401 - Step 5: Solve for x
x = 1,027,138,401/13,716 - Step 6: Final answer
x = 74,886.15
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.