Finding the Third Proportional to 36,814 and 80,172
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Solution
The third proportional to 36,814 and 80,172 is: 174,595.25
Step by Step Solution
- Step 1: Write the proportion equation
36,814 : 80,172 = 80,172 : x - Step 2: Convert to fraction form
36,814/80,172 = 80,172/x - Step 3: Cross multiply
36,814x = 80,172 × 80,172 - Step 4: Simplify right side
36,814x = 6,427,549,584 - Step 5: Solve for x
x = 6,427,549,584/36,814 - Step 6: Final answer
x = 174,595.25
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.