Finding the Third Proportional to 36,508 and 78,842
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Solution
The third proportional to 36,508 and 78,842 is: 170,265.72
Step by Step Solution
- Step 1: Write the proportion equation
36,508 : 78,842 = 78,842 : x - Step 2: Convert to fraction form
36,508/78,842 = 78,842/x - Step 3: Cross multiply
36,508x = 78,842 × 78,842 - Step 4: Simplify right side
36,508x = 6,216,060,964 - Step 5: Solve for x
x = 6,216,060,964/36,508 - Step 6: Final answer
x = 170,265.72
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.