Finding the Third Proportional to 23,570 and 50,513
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Solution
The third proportional to 23,570 and 50,513 is: 108,254.70
Step by Step Solution
- Step 1: Write the proportion equation
23,570 : 50,513 = 50,513 : x - Step 2: Convert to fraction form
23,570/50,513 = 50,513/x - Step 3: Cross multiply
23,570x = 50,513 × 50,513 - Step 4: Simplify right side
23,570x = 2,551,563,169 - Step 5: Solve for x
x = 2,551,563,169/23,570 - Step 6: Final answer
x = 108,254.70
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.