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Finding the Third Proportional to 27,729 and 60,993

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Solution

The third proportional to 27,729 and 60,993 is: 134,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,729 : 60,993 = 60,993 : x
  2. Step 2: Convert to fraction form
    27,729/60,993 = 60,993/x
  3. Step 3: Cross multiply
    27,729x = 60,993 × 60,993
  4. Step 4: Simplify right side
    27,729x = 3,720,146,049
  5. Step 5: Solve for x
    x = 3,720,146,049/27,729
  6. Step 6: Final answer
    x = 134,160.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.