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Finding the Third Proportional to 12,163.92 and 26,969.84

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Solution

The third proportional to 12,163.92 and 26,969.84 is: 59,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.92 : 26,969.84 = 26,969.84 : x
  2. Step 2: Convert to fraction form
    12,163.92/26,969.84 = 26,969.84/x
  3. Step 3: Cross multiply
    12,163.92x = 26,969.84 × 26,969.84
  4. Step 4: Simplify right side
    12,163.92x = 727,372,050.50
  5. Step 5: Solve for x
    x = 727,372,050.50/12,163.92
  6. Step 6: Final answer
    x = 59,797.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.