Finding the Third Proportional to 20,071.50 and 46,470
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Solution
The third proportional to 20,071.50 and 46,470 is: 107,588.42
Step by Step Solution
- Step 1: Write the proportion equation
20,071.50 : 46,470 = 46,470 : x - Step 2: Convert to fraction form
20,071.50/46,470 = 46,470/x - Step 3: Cross multiply
20,071.50x = 46,470 × 46,470 - Step 4: Simplify right side
20,071.50x = 2,159,460,900 - Step 5: Solve for x
x = 2,159,460,900/20,071.50 - Step 6: Final answer
x = 107,588.42
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.