Finding the Third Proportional to 23,450 and 49,780
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Solution
The third proportional to 23,450 and 49,780 is: 105,673.71
Step by Step Solution
- Step 1: Write the proportion equation
23,450 : 49,780 = 49,780 : x - Step 2: Convert to fraction form
23,450/49,780 = 49,780/x - Step 3: Cross multiply
23,450x = 49,780 × 49,780 - Step 4: Simplify right side
23,450x = 2,478,048,400 - Step 5: Solve for x
x = 2,478,048,400/23,450 - Step 6: Final answer
x = 105,673.71
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.