Finding the Third Proportional to 49,097 and 73,564
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Solution
The third proportional to 49,097 and 73,564 is: 110,223.89
Step by Step Solution
- Step 1: Write the proportion equation
49,097 : 73,564 = 73,564 : x - Step 2: Convert to fraction form
49,097/73,564 = 73,564/x - Step 3: Cross multiply
49,097x = 73,564 × 73,564 - Step 4: Simplify right side
49,097x = 5,411,662,096 - Step 5: Solve for x
x = 5,411,662,096/49,097 - Step 6: Final answer
x = 110,223.89
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.