Finding the Third Proportional to 14,572 and 31,946
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Solution
The third proportional to 14,572 and 31,946 is: 70,034.79
Step by Step Solution
- Step 1: Write the proportion equation
14,572 : 31,946 = 31,946 : x - Step 2: Convert to fraction form
14,572/31,946 = 31,946/x - Step 3: Cross multiply
14,572x = 31,946 × 31,946 - Step 4: Simplify right side
14,572x = 1,020,546,916 - Step 5: Solve for x
x = 1,020,546,916/14,572 - Step 6: Final answer
x = 70,034.79
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.