Finding the Third Proportional to 34,911 and 82,377
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Solution
The third proportional to 34,911 and 82,377 is: 194,379.14
Step by Step Solution
- Step 1: Write the proportion equation
34,911 : 82,377 = 82,377 : x - Step 2: Convert to fraction form
34,911/82,377 = 82,377/x - Step 3: Cross multiply
34,911x = 82,377 × 82,377 - Step 4: Simplify right side
34,911x = 6,785,970,129 - Step 5: Solve for x
x = 6,785,970,129/34,911 - Step 6: Final answer
x = 194,379.14
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.