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Finding the Third Proportional to 12,836 and 27,994

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Solution

The third proportional to 12,836 and 27,994 is: 61,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836 : 27,994 = 27,994 : x
  2. Step 2: Convert to fraction form
    12,836/27,994 = 27,994/x
  3. Step 3: Cross multiply
    12,836x = 27,994 × 27,994
  4. Step 4: Simplify right side
    12,836x = 783,664,036
  5. Step 5: Solve for x
    x = 783,664,036/12,836
  6. Step 6: Final answer
    x = 61,052.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.