Finding the Third Proportional to 10,961 and 23,972
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Solution
The third proportional to 10,961 and 23,972 is: 52,427.40
Step by Step Solution
- Step 1: Write the proportion equation
10,961 : 23,972 = 23,972 : x - Step 2: Convert to fraction form
10,961/23,972 = 23,972/x - Step 3: Cross multiply
10,961x = 23,972 × 23,972 - Step 4: Simplify right side
10,961x = 574,656,784 - Step 5: Solve for x
x = 574,656,784/10,961 - Step 6: Final answer
x = 52,427.40
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1.5x scale
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.