Finding the Third Proportional to 22,719.50 and 49,651
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Solution
The third proportional to 22,719.50 and 49,651 is: 108,506.87
Step by Step Solution
- Step 1: Write the proportion equation
22,719.50 : 49,651 = 49,651 : x - Step 2: Convert to fraction form
22,719.50/49,651 = 49,651/x - Step 3: Cross multiply
22,719.50x = 49,651 × 49,651 - Step 4: Simplify right side
22,719.50x = 2,465,221,801 - Step 5: Solve for x
x = 2,465,221,801/22,719.50 - Step 6: Final answer
x = 108,506.87
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.