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Finding the Third Proportional to 23,826 and 36,251

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Solution

The third proportional to 23,826 and 36,251 is: 55,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826 : 36,251 = 36,251 : x
  2. Step 2: Convert to fraction form
    23,826/36,251 = 36,251/x
  3. Step 3: Cross multiply
    23,826x = 36,251 × 36,251
  4. Step 4: Simplify right side
    23,826x = 1,314,135,001
  5. Step 5: Solve for x
    x = 1,314,135,001/23,826
  6. Step 6: Final answer
    x = 55,155.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.