Finding the Third Proportional to 33,714 and 51,035
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Solution
The third proportional to 33,714 and 51,035 is: 77,254.89
Step by Step Solution
- Step 1: Write the proportion equation
33,714 : 51,035 = 51,035 : x - Step 2: Convert to fraction form
33,714/51,035 = 51,035/x - Step 3: Cross multiply
33,714x = 51,035 × 51,035 - Step 4: Simplify right side
33,714x = 2,604,571,225 - Step 5: Solve for x
x = 2,604,571,225/33,714 - Step 6: Final answer
x = 77,254.89
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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.