Finding the Third Proportional to 21,200.50 and 32,968
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Solution
The third proportional to 21,200.50 and 32,968 is: 51,267.14
Step by Step Solution
- Step 1: Write the proportion equation
21,200.50 : 32,968 = 32,968 : x - Step 2: Convert to fraction form
21,200.50/32,968 = 32,968/x - Step 3: Cross multiply
21,200.50x = 32,968 × 32,968 - Step 4: Simplify right side
21,200.50x = 1,086,889,024 - Step 5: Solve for x
x = 1,086,889,024/21,200.50 - Step 6: Final answer
x = 51,267.14
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.