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Finding the Third Proportional to 27,722 and 59,996

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Solution

The third proportional to 27,722 and 59,996 is: 129,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722 : 59,996 = 59,996 : x
  2. Step 2: Convert to fraction form
    27,722/59,996 = 59,996/x
  3. Step 3: Cross multiply
    27,722x = 59,996 × 59,996
  4. Step 4: Simplify right side
    27,722x = 3,599,520,016
  5. Step 5: Solve for x
    x = 3,599,520,016/27,722
  6. Step 6: Final answer
    x = 129,843.45

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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.