Finding the Third Proportional to 869 and 2,033
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Solution
The third proportional to 869 and 2,033 is: 4,756.14
Step by Step Solution
- Step 1: Write the proportion equation
869 : 2,033 = 2,033 : x - Step 2: Convert to fraction form
869/2,033 = 2,033/x - Step 3: Cross multiply
869x = 2,033 × 2,033 - Step 4: Simplify right side
869x = 4,133,089 - Step 5: Solve for x
x = 4,133,089/869 - Step 6: Final answer
x = 4,756.14
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.