Finding the Third Proportional to 49,492 and 76,462
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Solution
The third proportional to 49,492 and 76,462 is: 118,128.94
Step by Step Solution
- Step 1: Write the proportion equation
49,492 : 76,462 = 76,462 : x - Step 2: Convert to fraction form
49,492/76,462 = 76,462/x - Step 3: Cross multiply
49,492x = 76,462 × 76,462 - Step 4: Simplify right side
49,492x = 5,846,437,444 - Step 5: Solve for x
x = 5,846,437,444/49,492 - Step 6: Final answer
x = 118,128.94
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.