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Finding the Third Proportional to 12,977 and 27,793

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Solution

The third proportional to 12,977 and 27,793 is: 59,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977 : 27,793 = 27,793 : x
  2. Step 2: Convert to fraction form
    12,977/27,793 = 27,793/x
  3. Step 3: Cross multiply
    12,977x = 27,793 × 27,793
  4. Step 4: Simplify right side
    12,977x = 772,450,849
  5. Step 5: Solve for x
    x = 772,450,849/12,977
  6. Step 6: Final answer
    x = 59,524.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.