Finding the Third Proportional to 33,846 and 51,417
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Solution
The third proportional to 33,846 and 51,417 is: 78,109.91
Step by Step Solution
- Step 1: Write the proportion equation
33,846 : 51,417 = 51,417 : x - Step 2: Convert to fraction form
33,846/51,417 = 51,417/x - Step 3: Cross multiply
33,846x = 51,417 × 51,417 - Step 4: Simplify right side
33,846x = 2,643,707,889 - Step 5: Solve for x
x = 2,643,707,889/33,846 - Step 6: Final answer
x = 78,109.91
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.