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Finding the Third Proportional to 23,789.75 and 51,965

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Solution

The third proportional to 23,789.75 and 51,965 is: 113,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789.75 : 51,965 = 51,965 : x
  2. Step 2: Convert to fraction form
    23,789.75/51,965 = 51,965/x
  3. Step 3: Cross multiply
    23,789.75x = 51,965 × 51,965
  4. Step 4: Simplify right side
    23,789.75x = 2,700,361,225
  5. Step 5: Solve for x
    x = 2,700,361,225/23,789.75
  6. Step 6: Final answer
    x = 113,509.44

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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.