Finding the Third Proportional to 22,971 and 50,044
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Solution
The third proportional to 22,971 and 50,044 is: 109,024.51
Step by Step Solution
- Step 1: Write the proportion equation
22,971 : 50,044 = 50,044 : x - Step 2: Convert to fraction form
22,971/50,044 = 50,044/x - Step 3: Cross multiply
22,971x = 50,044 × 50,044 - Step 4: Simplify right side
22,971x = 2,504,401,936 - Step 5: Solve for x
x = 2,504,401,936/22,971 - Step 6: Final answer
x = 109,024.51
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.