Finding the Third Proportional to 34,042 and 49,031
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Solution
The third proportional to 34,042 and 49,031 is: 70,619.79
Step by Step Solution
- Step 1: Write the proportion equation
34,042 : 49,031 = 49,031 : x - Step 2: Convert to fraction form
34,042/49,031 = 49,031/x - Step 3: Cross multiply
34,042x = 49,031 × 49,031 - Step 4: Simplify right side
34,042x = 2,404,038,961 - Step 5: Solve for x
x = 2,404,038,961/34,042 - Step 6: Final answer
x = 70,619.79
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.