Finding the Third Proportional to 43,348 and 64,846
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Solution
The third proportional to 43,348 and 64,846 is: 97,005.71
Step by Step Solution
- Step 1: Write the proportion equation
43,348 : 64,846 = 64,846 : x - Step 2: Convert to fraction form
43,348/64,846 = 64,846/x - Step 3: Cross multiply
43,348x = 64,846 × 64,846 - Step 4: Simplify right side
43,348x = 4,205,003,716 - Step 5: Solve for x
x = 4,205,003,716/43,348 - Step 6: Final answer
x = 97,005.71
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.