Finding the Third Proportional to 864 and 931.50
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Solution
The third proportional to 864 and 931.50 is: 1,004.27
Step by Step Solution
- Step 1: Write the proportion equation
864 : 931.50 = 931.50 : x - Step 2: Convert to fraction form
864/931.50 = 931.50/x - Step 3: Cross multiply
864x = 931.50 × 931.50 - Step 4: Simplify right side
864x = 867,692.25 - Step 5: Solve for x
x = 867,692.25/864 - Step 6: Final answer
x = 1,004.27
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.