Finding the Third Proportional to 30,472 and 40,596
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Solution
The third proportional to 30,472 and 40,596 is: 54,083.59
Step by Step Solution
- Step 1: Write the proportion equation
30,472 : 40,596 = 40,596 : x - Step 2: Convert to fraction form
30,472/40,596 = 40,596/x - Step 3: Cross multiply
30,472x = 40,596 × 40,596 - Step 4: Simplify right side
30,472x = 1,648,035,216 - Step 5: Solve for x
x = 1,648,035,216/30,472 - Step 6: Final answer
x = 54,083.59
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.