Finding the Third Proportional to 13,449 and 14,745
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Solution
The third proportional to 13,449 and 14,745 is: 16,165.89
Step by Step Solution
- Step 1: Write the proportion equation
13,449 : 14,745 = 14,745 : x - Step 2: Convert to fraction form
13,449/14,745 = 14,745/x - Step 3: Cross multiply
13,449x = 14,745 × 14,745 - Step 4: Simplify right side
13,449x = 217,415,025 - Step 5: Solve for x
x = 217,415,025/13,449 - Step 6: Final answer
x = 16,165.89
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.