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Finding the Third Proportional to 30,956 and 43,761

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Solution

The third proportional to 30,956 and 43,761 is: 61,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,956 : 43,761 = 43,761 : x
  2. Step 2: Convert to fraction form
    30,956/43,761 = 43,761/x
  3. Step 3: Cross multiply
    30,956x = 43,761 × 43,761
  4. Step 4: Simplify right side
    30,956x = 1,915,025,121
  5. Step 5: Solve for x
    x = 1,915,025,121/30,956
  6. Step 6: Final answer
    x = 61,862.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.