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Finding the Third Proportional to 40,438 and 44,110

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Solution

The third proportional to 40,438 and 44,110 is: 48,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,438 : 44,110 = 44,110 : x
  2. Step 2: Convert to fraction form
    40,438/44,110 = 44,110/x
  3. Step 3: Cross multiply
    40,438x = 44,110 × 44,110
  4. Step 4: Simplify right side
    40,438x = 1,945,692,100
  5. Step 5: Solve for x
    x = 1,945,692,100/40,438
  6. Step 6: Final answer
    x = 48,115.44

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.