Finding the Third Proportional to 39,401 and 86,457
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Solution
The third proportional to 39,401 and 86,457 is: 189,711.25
Step by Step Solution
- Step 1: Write the proportion equation
39,401 : 86,457 = 86,457 : x - Step 2: Convert to fraction form
39,401/86,457 = 86,457/x - Step 3: Cross multiply
39,401x = 86,457 × 86,457 - Step 4: Simplify right side
39,401x = 7,474,812,849 - Step 5: Solve for x
x = 7,474,812,849/39,401 - Step 6: Final answer
x = 189,711.25
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.