Finding the Third Proportional to 33,106 and 51,293
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Solution
The third proportional to 33,106 and 51,293 is: 79,471.15
Step by Step Solution
- Step 1: Write the proportion equation
33,106 : 51,293 = 51,293 : x - Step 2: Convert to fraction form
33,106/51,293 = 51,293/x - Step 3: Cross multiply
33,106x = 51,293 × 51,293 - Step 4: Simplify right side
33,106x = 2,630,971,849 - Step 5: Solve for x
x = 2,630,971,849/33,106 - Step 6: Final answer
x = 79,471.15
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.