Finding the Third Proportional to 828 and 1,043
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Solution
The third proportional to 828 and 1,043 is: 1,313.83
Step by Step Solution
- Step 1: Write the proportion equation
828 : 1,043 = 1,043 : x - Step 2: Convert to fraction form
828/1,043 = 1,043/x - Step 3: Cross multiply
828x = 1,043 × 1,043 - Step 4: Simplify right side
828x = 1,087,849 - Step 5: Solve for x
x = 1,087,849/828 - Step 6: Final answer
x = 1,313.83
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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.