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Finding the Third Proportional to 12,195 and 24,606

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Solution

The third proportional to 12,195 and 24,606 is: 49,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195 : 24,606 = 24,606 : x
  2. Step 2: Convert to fraction form
    12,195/24,606 = 24,606/x
  3. Step 3: Cross multiply
    12,195x = 24,606 × 24,606
  4. Step 4: Simplify right side
    12,195x = 605,455,236
  5. Step 5: Solve for x
    x = 605,455,236/12,195
  6. Step 6: Final answer
    x = 49,647.83

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.