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Finding the Third Proportional to 23,989 and 35,980

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Solution

The third proportional to 23,989 and 35,980 is: 53,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,989 : 35,980 = 35,980 : x
  2. Step 2: Convert to fraction form
    23,989/35,980 = 35,980/x
  3. Step 3: Cross multiply
    23,989x = 35,980 × 35,980
  4. Step 4: Simplify right side
    23,989x = 1,294,560,400
  5. Step 5: Solve for x
    x = 1,294,560,400/23,989
  6. Step 6: Final answer
    x = 53,964.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.