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Finding the Third Proportional to 26,408 and 37,920

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Solution

The third proportional to 26,408 and 37,920 is: 54,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,408 : 37,920 = 37,920 : x
  2. Step 2: Convert to fraction form
    26,408/37,920 = 37,920/x
  3. Step 3: Cross multiply
    26,408x = 37,920 × 37,920
  4. Step 4: Simplify right side
    26,408x = 1,437,926,400
  5. Step 5: Solve for x
    x = 1,437,926,400/26,408
  6. Step 6: Final answer
    x = 54,450.41

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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.