Finding the Third Proportional to 51,626 and 77,871
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Solution
The third proportional to 51,626 and 77,871 is: 117,458.11
Step by Step Solution
- Step 1: Write the proportion equation
51,626 : 77,871 = 77,871 : x - Step 2: Convert to fraction form
51,626/77,871 = 77,871/x - Step 3: Cross multiply
51,626x = 77,871 × 77,871 - Step 4: Simplify right side
51,626x = 6,063,892,641 - Step 5: Solve for x
x = 6,063,892,641/51,626 - Step 6: Final answer
x = 117,458.11
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.