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Finding the Third Proportional to 23,200 and 49,676

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Solution

The third proportional to 23,200 and 49,676 is: 106,366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200 : 49,676 = 49,676 : x
  2. Step 2: Convert to fraction form
    23,200/49,676 = 49,676/x
  3. Step 3: Cross multiply
    23,200x = 49,676 × 49,676
  4. Step 4: Simplify right side
    23,200x = 2,467,704,976
  5. Step 5: Solve for x
    x = 2,467,704,976/23,200
  6. Step 6: Final answer
    x = 106,366.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.