Finding the Third Proportional to 46,002 and 71,257
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Solution
The third proportional to 46,002 and 71,257 is: 110,376.94
Step by Step Solution
- Step 1: Write the proportion equation
46,002 : 71,257 = 71,257 : x - Step 2: Convert to fraction form
46,002/71,257 = 71,257/x - Step 3: Cross multiply
46,002x = 71,257 × 71,257 - Step 4: Simplify right side
46,002x = 5,077,560,049 - Step 5: Solve for x
x = 5,077,560,049/46,002 - Step 6: Final answer
x = 110,376.94
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.