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Finding the Third Proportional to 22,408 and 34,395

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Solution

The third proportional to 22,408 and 34,395 is: 52,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408 : 34,395 = 34,395 : x
  2. Step 2: Convert to fraction form
    22,408/34,395 = 34,395/x
  3. Step 3: Cross multiply
    22,408x = 34,395 × 34,395
  4. Step 4: Simplify right side
    22,408x = 1,183,016,025
  5. Step 5: Solve for x
    x = 1,183,016,025/22,408
  6. Step 6: Final answer
    x = 52,794.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.