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Finding the Third Proportional to 41,647 and 66,236

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Solution

The third proportional to 41,647 and 66,236 is: 105,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,647 : 66,236 = 66,236 : x
  2. Step 2: Convert to fraction form
    41,647/66,236 = 66,236/x
  3. Step 3: Cross multiply
    41,647x = 66,236 × 66,236
  4. Step 4: Simplify right side
    41,647x = 4,387,207,696
  5. Step 5: Solve for x
    x = 4,387,207,696/41,647
  6. Step 6: Final answer
    x = 105,342.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.