Finding the Third Proportional to 23,097 and 53,886
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Solution
The third proportional to 23,097 and 53,886 is: 125,717.67
Step by Step Solution
- Step 1: Write the proportion equation
23,097 : 53,886 = 53,886 : x - Step 2: Convert to fraction form
23,097/53,886 = 53,886/x - Step 3: Cross multiply
23,097x = 53,886 × 53,886 - Step 4: Simplify right side
23,097x = 2,903,700,996 - Step 5: Solve for x
x = 2,903,700,996/23,097 - Step 6: Final answer
x = 125,717.67
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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.