Finding the Third Proportional to 19,726 and 31,402
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Solution
The third proportional to 19,726 and 31,402 is: 49,989.13
Step by Step Solution
- Step 1: Write the proportion equation
19,726 : 31,402 = 31,402 : x - Step 2: Convert to fraction form
19,726/31,402 = 31,402/x - Step 3: Cross multiply
19,726x = 31,402 × 31,402 - Step 4: Simplify right side
19,726x = 986,085,604 - Step 5: Solve for x
x = 986,085,604/19,726 - Step 6: Final answer
x = 49,989.13
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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.