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Finding the Third Proportional to 23,800 and 51,578

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Solution

The third proportional to 23,800 and 51,578 is: 111,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800 : 51,578 = 51,578 : x
  2. Step 2: Convert to fraction form
    23,800/51,578 = 51,578/x
  3. Step 3: Cross multiply
    23,800x = 51,578 × 51,578
  4. Step 4: Simplify right side
    23,800x = 2,660,290,084
  5. Step 5: Solve for x
    x = 2,660,290,084/23,800
  6. Step 6: Final answer
    x = 111,776.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.