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Finding the Third Proportional to 27,772 and 59,980

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Solution

The third proportional to 27,772 and 59,980 is: 129,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772 : 59,980 = 59,980 : x
  2. Step 2: Convert to fraction form
    27,772/59,980 = 59,980/x
  3. Step 3: Cross multiply
    27,772x = 59,980 × 59,980
  4. Step 4: Simplify right side
    27,772x = 3,597,600,400
  5. Step 5: Solve for x
    x = 3,597,600,400/27,772
  6. Step 6: Final answer
    x = 129,540.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.