Finding the Third Proportional to 34,080 and 51,734
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Solution
The third proportional to 34,080 and 51,734 is: 78,533.06
Step by Step Solution
- Step 1: Write the proportion equation
34,080 : 51,734 = 51,734 : x - Step 2: Convert to fraction form
34,080/51,734 = 51,734/x - Step 3: Cross multiply
34,080x = 51,734 × 51,734 - Step 4: Simplify right side
34,080x = 2,676,406,756 - Step 5: Solve for x
x = 2,676,406,756/34,080 - Step 6: Final answer
x = 78,533.06
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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.