Finding the Third Proportional to 19,442 and 30,462
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Solution
The third proportional to 19,442 and 30,462 is: 47,728.29
Step by Step Solution
- Step 1: Write the proportion equation
19,442 : 30,462 = 30,462 : x - Step 2: Convert to fraction form
19,442/30,462 = 30,462/x - Step 3: Cross multiply
19,442x = 30,462 × 30,462 - Step 4: Simplify right side
19,442x = 927,933,444 - Step 5: Solve for x
x = 927,933,444/19,442 - Step 6: Final answer
x = 47,728.29
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.