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Finding the Third Proportional to 18,646 and 35,408

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Solution

The third proportional to 18,646 and 35,408 is: 67,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646 : 35,408 = 35,408 : x
  2. Step 2: Convert to fraction form
    18,646/35,408 = 35,408/x
  3. Step 3: Cross multiply
    18,646x = 35,408 × 35,408
  4. Step 4: Simplify right side
    18,646x = 1,253,726,464
  5. Step 5: Solve for x
    x = 1,253,726,464/18,646
  6. Step 6: Final answer
    x = 67,238.36

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.