Finding the Third Proportional to 32,472 and 67,495.50
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Solution
The third proportional to 32,472 and 67,495.50 is: 140,294.49
Step by Step Solution
- Step 1: Write the proportion equation
32,472 : 67,495.50 = 67,495.50 : x - Step 2: Convert to fraction form
32,472/67,495.50 = 67,495.50/x - Step 3: Cross multiply
32,472x = 67,495.50 × 67,495.50 - Step 4: Simplify right side
32,472x = 4,555,642,520.25 - Step 5: Solve for x
x = 4,555,642,520.25/32,472 - Step 6: Final answer
x = 140,294.49
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.