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Finding the Third Proportional to 26,444 and 37,874

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Solution

The third proportional to 26,444 and 37,874 is: 54,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,444 : 37,874 = 37,874 : x
  2. Step 2: Convert to fraction form
    26,444/37,874 = 37,874/x
  3. Step 3: Cross multiply
    26,444x = 37,874 × 37,874
  4. Step 4: Simplify right side
    26,444x = 1,434,439,876
  5. Step 5: Solve for x
    x = 1,434,439,876/26,444
  6. Step 6: Final answer
    x = 54,244.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.