Finding the Third Proportional to 19,128 and 41,023
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Solution
The third proportional to 19,128 and 41,023 is: 87,980.27
Step by Step Solution
- Step 1: Write the proportion equation
19,128 : 41,023 = 41,023 : x - Step 2: Convert to fraction form
19,128/41,023 = 41,023/x - Step 3: Cross multiply
19,128x = 41,023 × 41,023 - Step 4: Simplify right side
19,128x = 1,682,886,529 - Step 5: Solve for x
x = 1,682,886,529/19,128 - Step 6: Final answer
x = 87,980.27
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.