Finding the Third Proportional to 38,370 and 51,003
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Solution
The third proportional to 38,370 and 51,003 is: 67,795.31
Step by Step Solution
- Step 1: Write the proportion equation
38,370 : 51,003 = 51,003 : x - Step 2: Convert to fraction form
38,370/51,003 = 51,003/x - Step 3: Cross multiply
38,370x = 51,003 × 51,003 - Step 4: Simplify right side
38,370x = 2,601,306,009 - Step 5: Solve for x
x = 2,601,306,009/38,370 - Step 6: Final answer
x = 67,795.31
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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.