Finding the Third Proportional to 827 and 1,315
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Solution
The third proportional to 827 and 1,315 is: 2,090.96
Step by Step Solution
- Step 1: Write the proportion equation
827 : 1,315 = 1,315 : x - Step 2: Convert to fraction form
827/1,315 = 1,315/x - Step 3: Cross multiply
827x = 1,315 × 1,315 - Step 4: Simplify right side
827x = 1,729,225 - Step 5: Solve for x
x = 1,729,225/827 - Step 6: Final answer
x = 2,090.96
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.