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Finding the Third Proportional to 29,462 and 61,408

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Solution

The third proportional to 29,462 and 61,408 is: 127,993.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,462 : 61,408 = 61,408 : x
  2. Step 2: Convert to fraction form
    29,462/61,408 = 61,408/x
  3. Step 3: Cross multiply
    29,462x = 61,408 × 61,408
  4. Step 4: Simplify right side
    29,462x = 3,770,942,464
  5. Step 5: Solve for x
    x = 3,770,942,464/29,462
  6. Step 6: Final answer
    x = 127,993.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.