Finding the Third Proportional to 32,491 and 47,583.50
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Solution
The third proportional to 32,491 and 47,583.50 is: 69,686.67
Step by Step Solution
- Step 1: Write the proportion equation
32,491 : 47,583.50 = 47,583.50 : x - Step 2: Convert to fraction form
32,491/47,583.50 = 47,583.50/x - Step 3: Cross multiply
32,491x = 47,583.50 × 47,583.50 - Step 4: Simplify right side
32,491x = 2,264,189,472.25 - Step 5: Solve for x
x = 2,264,189,472.25/32,491 - Step 6: Final answer
x = 69,686.67
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.