Finding the Third Proportional to 23,071.50 and 49,545
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Solution
The third proportional to 23,071.50 and 49,545 is: 106,395.64
Step by Step Solution
- Step 1: Write the proportion equation
23,071.50 : 49,545 = 49,545 : x - Step 2: Convert to fraction form
23,071.50/49,545 = 49,545/x - Step 3: Cross multiply
23,071.50x = 49,545 × 49,545 - Step 4: Simplify right side
23,071.50x = 2,454,707,025 - Step 5: Solve for x
x = 2,454,707,025/23,071.50 - Step 6: Final answer
x = 106,395.64
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.