Finding the Third Proportional to 19,449 and 31,002
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Solution
The third proportional to 19,449 and 31,002 is: 49,417.66
Step by Step Solution
- Step 1: Write the proportion equation
19,449 : 31,002 = 31,002 : x - Step 2: Convert to fraction form
19,449/31,002 = 31,002/x - Step 3: Cross multiply
19,449x = 31,002 × 31,002 - Step 4: Simplify right side
19,449x = 961,124,004 - Step 5: Solve for x
x = 961,124,004/19,449 - Step 6: Final answer
x = 49,417.66
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.