Finding the Third Proportional to 49,412 and 72,813
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Solution
The third proportional to 49,412 and 72,813 is: 107,296.47
Step by Step Solution
- Step 1: Write the proportion equation
49,412 : 72,813 = 72,813 : x - Step 2: Convert to fraction form
49,412/72,813 = 72,813/x - Step 3: Cross multiply
49,412x = 72,813 × 72,813 - Step 4: Simplify right side
49,412x = 5,301,732,969 - Step 5: Solve for x
x = 5,301,732,969/49,412 - Step 6: Final answer
x = 107,296.47
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.