Finding the Third Proportional to 46,826 and 103,500
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Solution
The third proportional to 46,826 and 103,500 is: 228,767.14
Step by Step Solution
- Step 1: Write the proportion equation
46,826 : 103,500 = 103,500 : x - Step 2: Convert to fraction form
46,826/103,500 = 103,500/x - Step 3: Cross multiply
46,826x = 103,500 × 103,500 - Step 4: Simplify right side
46,826x = 10,712,250,000 - Step 5: Solve for x
x = 10,712,250,000/46,826 - Step 6: Final answer
x = 228,767.14
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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.