Finding the Third Proportional to 23,224 and 49,445
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Solution
The third proportional to 23,224 and 49,445 is: 105,270.76
Step by Step Solution
- Step 1: Write the proportion equation
23,224 : 49,445 = 49,445 : x - Step 2: Convert to fraction form
23,224/49,445 = 49,445/x - Step 3: Cross multiply
23,224x = 49,445 × 49,445 - Step 4: Simplify right side
23,224x = 2,444,808,025 - Step 5: Solve for x
x = 2,444,808,025/23,224 - Step 6: Final answer
x = 105,270.76
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.