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Finding the Third Proportional to 12,104 and 24,496

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Solution

The third proportional to 12,104 and 24,496 is: 49,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104 : 24,496 = 24,496 : x
  2. Step 2: Convert to fraction form
    12,104/24,496 = 24,496/x
  3. Step 3: Cross multiply
    12,104x = 24,496 × 24,496
  4. Step 4: Simplify right side
    12,104x = 600,054,016
  5. Step 5: Solve for x
    x = 600,054,016/12,104
  6. Step 6: Final answer
    x = 49,574.85

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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.