Finding the Third Proportional to 33,706 and 51,023
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Solution
The third proportional to 33,706 and 51,023 is: 77,236.89
Step by Step Solution
- Step 1: Write the proportion equation
33,706 : 51,023 = 51,023 : x - Step 2: Convert to fraction form
33,706/51,023 = 51,023/x - Step 3: Cross multiply
33,706x = 51,023 × 51,023 - Step 4: Simplify right side
33,706x = 2,603,346,529 - Step 5: Solve for x
x = 2,603,346,529/33,706 - Step 6: Final answer
x = 77,236.89
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.