Finding the Third Proportional to 23,006 and 49,293
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Solution
The third proportional to 23,006 and 49,293 is: 105,615.92
Step by Step Solution
- Step 1: Write the proportion equation
23,006 : 49,293 = 49,293 : x - Step 2: Convert to fraction form
23,006/49,293 = 49,293/x - Step 3: Cross multiply
23,006x = 49,293 × 49,293 - Step 4: Simplify right side
23,006x = 2,429,799,849 - Step 5: Solve for x
x = 2,429,799,849/23,006 - Step 6: Final answer
x = 105,615.92
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.