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Finding the Third Proportional to 41,222 and 55,994

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Solution

The third proportional to 41,222 and 55,994 is: 76,059.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,222 : 55,994 = 55,994 : x
  2. Step 2: Convert to fraction form
    41,222/55,994 = 55,994/x
  3. Step 3: Cross multiply
    41,222x = 55,994 × 55,994
  4. Step 4: Simplify right side
    41,222x = 3,135,328,036
  5. Step 5: Solve for x
    x = 3,135,328,036/41,222
  6. Step 6: Final answer
    x = 76,059.58

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