Finding the Third Proportional to 51,082 and 82,023
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Solution
The third proportional to 51,082 and 82,023 is: 131,705.35
Step by Step Solution
- Step 1: Write the proportion equation
51,082 : 82,023 = 82,023 : x - Step 2: Convert to fraction form
51,082/82,023 = 82,023/x - Step 3: Cross multiply
51,082x = 82,023 × 82,023 - Step 4: Simplify right side
51,082x = 6,727,772,529 - Step 5: Solve for x
x = 6,727,772,529/51,082 - Step 6: Final answer
x = 131,705.35
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.