Finding the Third Proportional to 49,768 and 77,682
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Solution
The third proportional to 49,768 and 77,682 is: 121,252.47
Step by Step Solution
- Step 1: Write the proportion equation
49,768 : 77,682 = 77,682 : x - Step 2: Convert to fraction form
49,768/77,682 = 77,682/x - Step 3: Cross multiply
49,768x = 77,682 × 77,682 - Step 4: Simplify right side
49,768x = 6,034,493,124 - Step 5: Solve for x
x = 6,034,493,124/49,768 - Step 6: Final answer
x = 121,252.47
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.