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Finding the Third Proportional to 23,786 and 51,226

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Solution

The third proportional to 23,786 and 51,226 is: 110,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786 : 51,226 = 51,226 : x
  2. Step 2: Convert to fraction form
    23,786/51,226 = 51,226/x
  3. Step 3: Cross multiply
    23,786x = 51,226 × 51,226
  4. Step 4: Simplify right side
    23,786x = 2,624,103,076
  5. Step 5: Solve for x
    x = 2,624,103,076/23,786
  6. Step 6: Final answer
    x = 110,321.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.