Finding the Third Proportional to 22,706 and 49,764
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Solution
The third proportional to 22,706 and 49,764 is: 109,066.14
Step by Step Solution
- Step 1: Write the proportion equation
22,706 : 49,764 = 49,764 : x - Step 2: Convert to fraction form
22,706/49,764 = 49,764/x - Step 3: Cross multiply
22,706x = 49,764 × 49,764 - Step 4: Simplify right side
22,706x = 2,476,455,696 - Step 5: Solve for x
x = 2,476,455,696/22,706 - Step 6: Final answer
x = 109,066.14
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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.