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Finding the Third Proportional to 41,546 and 66,045

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Solution

The third proportional to 41,546 and 66,045 is: 104,990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,546 : 66,045 = 66,045 : x
  2. Step 2: Convert to fraction form
    41,546/66,045 = 66,045/x
  3. Step 3: Cross multiply
    41,546x = 66,045 × 66,045
  4. Step 4: Simplify right side
    41,546x = 4,361,942,025
  5. Step 5: Solve for x
    x = 4,361,942,025/41,546
  6. Step 6: Final answer
    x = 104,990.66

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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.