Finding the Third Proportional to 23,776 and 50,836
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Solution
The third proportional to 23,776 and 50,836 is: 108,693.59
Step by Step Solution
- Step 1: Write the proportion equation
23,776 : 50,836 = 50,836 : x - Step 2: Convert to fraction form
23,776/50,836 = 50,836/x - Step 3: Cross multiply
23,776x = 50,836 × 50,836 - Step 4: Simplify right side
23,776x = 2,584,298,896 - Step 5: Solve for x
x = 2,584,298,896/23,776 - Step 6: Final answer
x = 108,693.59
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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.