Finding the Third Proportional to 827.50 and 1,817
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Solution
The third proportional to 827.50 and 1,817 is: 3,989.71
Step by Step Solution
- Step 1: Write the proportion equation
827.50 : 1,817 = 1,817 : x - Step 2: Convert to fraction form
827.50/1,817 = 1,817/x - Step 3: Cross multiply
827.50x = 1,817 × 1,817 - Step 4: Simplify right side
827.50x = 3,301,489 - Step 5: Solve for x
x = 3,301,489/827.50 - Step 6: Final answer
x = 3,989.71
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.