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Finding the Third Proportional to 24,811 and 54,077

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Solution

The third proportional to 24,811 and 54,077 is: 117,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811 : 54,077 = 54,077 : x
  2. Step 2: Convert to fraction form
    24,811/54,077 = 54,077/x
  3. Step 3: Cross multiply
    24,811x = 54,077 × 54,077
  4. Step 4: Simplify right side
    24,811x = 2,924,321,929
  5. Step 5: Solve for x
    x = 2,924,321,929/24,811
  6. Step 6: Final answer
    x = 117,863.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.