Finding the Third Proportional to 20,440 and 42,938
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Solution
The third proportional to 20,440 and 42,938 is: 90,199.21
Step by Step Solution
- Step 1: Write the proportion equation
20,440 : 42,938 = 42,938 : x - Step 2: Convert to fraction form
20,440/42,938 = 42,938/x - Step 3: Cross multiply
20,440x = 42,938 × 42,938 - Step 4: Simplify right side
20,440x = 1,843,671,844 - Step 5: Solve for x
x = 1,843,671,844/20,440 - Step 6: Final answer
x = 90,199.21
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.