Finding the Third Proportional to 49,666 and 77,699
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Solution
The third proportional to 49,666 and 77,699 is: 121,554.68
Step by Step Solution
- Step 1: Write the proportion equation
49,666 : 77,699 = 77,699 : x - Step 2: Convert to fraction form
49,666/77,699 = 77,699/x - Step 3: Cross multiply
49,666x = 77,699 × 77,699 - Step 4: Simplify right side
49,666x = 6,037,134,601 - Step 5: Solve for x
x = 6,037,134,601/49,666 - Step 6: Final answer
x = 121,554.68
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.