Finding the Third Proportional to 46,032 and 71,082
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Solution
The third proportional to 46,032 and 71,082 is: 109,763.88
Step by Step Solution
- Step 1: Write the proportion equation
46,032 : 71,082 = 71,082 : x - Step 2: Convert to fraction form
46,032/71,082 = 71,082/x - Step 3: Cross multiply
46,032x = 71,082 × 71,082 - Step 4: Simplify right side
46,032x = 5,052,650,724 - Step 5: Solve for x
x = 5,052,650,724/46,032 - Step 6: Final answer
x = 109,763.88
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.