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Finding the Third Proportional to 41,224 and 55,997

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Solution

The third proportional to 41,224 and 55,997 is: 76,064.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,224 : 55,997 = 55,997 : x
  2. Step 2: Convert to fraction form
    41,224/55,997 = 55,997/x
  3. Step 3: Cross multiply
    41,224x = 55,997 × 55,997
  4. Step 4: Simplify right side
    41,224x = 3,135,664,009
  5. Step 5: Solve for x
    x = 3,135,664,009/41,224
  6. Step 6: Final answer
    x = 76,064.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.