Finding the Third Proportional to 19,806 and 42,897
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Solution
The third proportional to 19,806 and 42,897 is: 92,908.85
Step by Step Solution
- Step 1: Write the proportion equation
19,806 : 42,897 = 42,897 : x - Step 2: Convert to fraction form
19,806/42,897 = 42,897/x - Step 3: Cross multiply
19,806x = 42,897 × 42,897 - Step 4: Simplify right side
19,806x = 1,840,152,609 - Step 5: Solve for x
x = 1,840,152,609/19,806 - Step 6: Final answer
x = 92,908.85
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.