Finding the Third Proportional to 20,732 and 31,247.50
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Solution
The third proportional to 20,732 and 31,247.50 is: 47,096.58
Step by Step Solution
- Step 1: Write the proportion equation
20,732 : 31,247.50 = 31,247.50 : x - Step 2: Convert to fraction form
20,732/31,247.50 = 31,247.50/x - Step 3: Cross multiply
20,732x = 31,247.50 × 31,247.50 - Step 4: Simplify right side
20,732x = 976,406,256.25 - Step 5: Solve for x
x = 976,406,256.25/20,732 - Step 6: Final answer
x = 47,096.58
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.