Finding the Third Proportional to 49,326 and 76,291
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Solution
The third proportional to 49,326 and 76,291 is: 117,996.93
Step by Step Solution
- Step 1: Write the proportion equation
49,326 : 76,291 = 76,291 : x - Step 2: Convert to fraction form
49,326/76,291 = 76,291/x - Step 3: Cross multiply
49,326x = 76,291 × 76,291 - Step 4: Simplify right side
49,326x = 5,820,316,681 - Step 5: Solve for x
x = 5,820,316,681/49,326 - Step 6: Final answer
x = 117,996.93
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.