Finding the Third Proportional to 23,078.50 and 49,667
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Solution
The third proportional to 23,078.50 and 49,667 is: 106,887.83
Step by Step Solution
- Step 1: Write the proportion equation
23,078.50 : 49,667 = 49,667 : x - Step 2: Convert to fraction form
23,078.50/49,667 = 49,667/x - Step 3: Cross multiply
23,078.50x = 49,667 × 49,667 - Step 4: Simplify right side
23,078.50x = 2,466,810,889 - Step 5: Solve for x
x = 2,466,810,889/23,078.50 - Step 6: Final answer
x = 106,887.83
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.