Finding the Third Proportional to 34,319 and 54,804
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Solution
The third proportional to 34,319 and 54,804 is: 87,516.49
Step by Step Solution
- Step 1: Write the proportion equation
34,319 : 54,804 = 54,804 : x - Step 2: Convert to fraction form
34,319/54,804 = 54,804/x - Step 3: Cross multiply
34,319x = 54,804 × 54,804 - Step 4: Simplify right side
34,319x = 3,003,478,416 - Step 5: Solve for x
x = 3,003,478,416/34,319 - Step 6: Final answer
x = 87,516.49
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.