Finding the Third Proportional to 34,280.50 and 51,786
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Solution
The third proportional to 34,280.50 and 51,786 is: 78,230.77
Step by Step Solution
- Step 1: Write the proportion equation
34,280.50 : 51,786 = 51,786 : x - Step 2: Convert to fraction form
34,280.50/51,786 = 51,786/x - Step 3: Cross multiply
34,280.50x = 51,786 × 51,786 - Step 4: Simplify right side
34,280.50x = 2,681,789,796 - Step 5: Solve for x
x = 2,681,789,796/34,280.50 - Step 6: Final answer
x = 78,230.77
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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.