Finding the Third Proportional to 58,662 and 77,787
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Solution
The third proportional to 58,662 and 77,787 is: 103,147.14
Step by Step Solution
- Step 1: Write the proportion equation
58,662 : 77,787 = 77,787 : x - Step 2: Convert to fraction form
58,662/77,787 = 77,787/x - Step 3: Cross multiply
58,662x = 77,787 × 77,787 - Step 4: Simplify right side
58,662x = 6,050,817,369 - Step 5: Solve for x
x = 6,050,817,369/58,662 - Step 6: Final answer
x = 103,147.14
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.