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Finding the Third Proportional to 23,756 and 34,238

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Solution

The third proportional to 23,756 and 34,238 is: 49,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,756 : 34,238 = 34,238 : x
  2. Step 2: Convert to fraction form
    23,756/34,238 = 34,238/x
  3. Step 3: Cross multiply
    23,756x = 34,238 × 34,238
  4. Step 4: Simplify right side
    23,756x = 1,172,240,644
  5. Step 5: Solve for x
    x = 1,172,240,644/23,756
  6. Step 6: Final answer
    x = 49,345.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.