Finding the Third Proportional to 852 and 967.50
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Solution
The third proportional to 852 and 967.50 is: 1,098.66
Step by Step Solution
- Step 1: Write the proportion equation
852 : 967.50 = 967.50 : x - Step 2: Convert to fraction form
852/967.50 = 967.50/x - Step 3: Cross multiply
852x = 967.50 × 967.50 - Step 4: Simplify right side
852x = 936,056.25 - Step 5: Solve for x
x = 936,056.25/852 - Step 6: Final answer
x = 1,098.66
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.