Finding the Third Proportional to 46,942 and 70,812
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Solution
The third proportional to 46,942 and 70,812 is: 106,819.89
Step by Step Solution
- Step 1: Write the proportion equation
46,942 : 70,812 = 70,812 : x - Step 2: Convert to fraction form
46,942/70,812 = 70,812/x - Step 3: Cross multiply
46,942x = 70,812 × 70,812 - Step 4: Simplify right side
46,942x = 5,014,339,344 - Step 5: Solve for x
x = 5,014,339,344/46,942 - Step 6: Final answer
x = 106,819.89
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.