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Finding the Third Proportional to 47,005 and 71,996

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Solution

The third proportional to 47,005 and 71,996 is: 110,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,005 : 71,996 = 71,996 : x
  2. Step 2: Convert to fraction form
    47,005/71,996 = 71,996/x
  3. Step 3: Cross multiply
    47,005x = 71,996 × 71,996
  4. Step 4: Simplify right side
    47,005x = 5,183,424,016
  5. Step 5: Solve for x
    x = 5,183,424,016/47,005
  6. Step 6: Final answer
    x = 110,273.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.