Finding the Third Proportional to 827.50 and 1,807
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Solution
The third proportional to 827.50 and 1,807 is: 3,945.92
Step by Step Solution
- Step 1: Write the proportion equation
827.50 : 1,807 = 1,807 : x - Step 2: Convert to fraction form
827.50/1,807 = 1,807/x - Step 3: Cross multiply
827.50x = 1,807 × 1,807 - Step 4: Simplify right side
827.50x = 3,265,249 - Step 5: Solve for x
x = 3,265,249/827.50 - Step 6: Final answer
x = 3,945.92
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.