Finding the Third Proportional to 22,996 and 50,297
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Solution
The third proportional to 22,996 and 50,297 is: 110,009.92
Step by Step Solution
- Step 1: Write the proportion equation
22,996 : 50,297 = 50,297 : x - Step 2: Convert to fraction form
22,996/50,297 = 50,297/x - Step 3: Cross multiply
22,996x = 50,297 × 50,297 - Step 4: Simplify right side
22,996x = 2,529,788,209 - Step 5: Solve for x
x = 2,529,788,209/22,996 - Step 6: Final answer
x = 110,009.92
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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.