Finding the Third Proportional to 26,812 and 37,686
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Solution
The third proportional to 26,812 and 37,686 is: 52,970.11
Step by Step Solution
- Step 1: Write the proportion equation
26,812 : 37,686 = 37,686 : x - Step 2: Convert to fraction form
26,812/37,686 = 37,686/x - Step 3: Cross multiply
26,812x = 37,686 × 37,686 - Step 4: Simplify right side
26,812x = 1,420,234,596 - Step 5: Solve for x
x = 1,420,234,596/26,812 - Step 6: Final answer
x = 52,970.11
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.