Finding the Third Proportional to 13,812 and 20,670
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Solution
The third proportional to 13,812 and 20,670 is: 30,933.17
Step by Step Solution
- Step 1: Write the proportion equation
13,812 : 20,670 = 20,670 : x - Step 2: Convert to fraction form
13,812/20,670 = 20,670/x - Step 3: Cross multiply
13,812x = 20,670 × 20,670 - Step 4: Simplify right side
13,812x = 427,248,900 - Step 5: Solve for x
x = 427,248,900/13,812 - Step 6: Final answer
x = 30,933.17
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.