Finding the Third Proportional to 31,090 and 49,444
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Solution
The third proportional to 31,090 and 49,444 is: 78,633.29
Step by Step Solution
- Step 1: Write the proportion equation
31,090 : 49,444 = 49,444 : x - Step 2: Convert to fraction form
31,090/49,444 = 49,444/x - Step 3: Cross multiply
31,090x = 49,444 × 49,444 - Step 4: Simplify right side
31,090x = 2,444,709,136 - Step 5: Solve for x
x = 2,444,709,136/31,090 - Step 6: Final answer
x = 78,633.29
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.