Finding the Third Proportional to 14,661.50 and 31,591
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Solution
The third proportional to 14,661.50 and 31,591 is: 68,068.84
Step by Step Solution
- Step 1: Write the proportion equation
14,661.50 : 31,591 = 31,591 : x - Step 2: Convert to fraction form
14,661.50/31,591 = 31,591/x - Step 3: Cross multiply
14,661.50x = 31,591 × 31,591 - Step 4: Simplify right side
14,661.50x = 997,991,281 - Step 5: Solve for x
x = 997,991,281/14,661.50 - Step 6: Final answer
x = 68,068.84
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.