Finding the Third Proportional to 12,508 and 19,806
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Solution
The third proportional to 12,508 and 19,806 is: 31,362.14
Step by Step Solution
- Step 1: Write the proportion equation
12,508 : 19,806 = 19,806 : x - Step 2: Convert to fraction form
12,508/19,806 = 19,806/x - Step 3: Cross multiply
12,508x = 19,806 × 19,806 - Step 4: Simplify right side
12,508x = 392,277,636 - Step 5: Solve for x
x = 392,277,636/12,508 - Step 6: Final answer
x = 31,362.14
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.