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Finding the Third Proportional to 28,408 and 44,108

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Solution

The third proportional to 28,408 and 44,108 is: 68,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,408 : 44,108 = 44,108 : x
  2. Step 2: Convert to fraction form
    28,408/44,108 = 44,108/x
  3. Step 3: Cross multiply
    28,408x = 44,108 × 44,108
  4. Step 4: Simplify right side
    28,408x = 1,945,515,664
  5. Step 5: Solve for x
    x = 1,945,515,664/28,408
  6. Step 6: Final answer
    x = 68,484.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.