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Finding the Third Proportional to 23,438.25 and 51,163.88

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Solution

The third proportional to 23,438.25 and 51,163.88 is: 111,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,438.25 : 51,163.88 = 51,163.88 : x
  2. Step 2: Convert to fraction form
    23,438.25/51,163.88 = 51,163.88/x
  3. Step 3: Cross multiply
    23,438.25x = 51,163.88 × 51,163.88
  4. Step 4: Simplify right side
    23,438.25x = 2,617,742,105.02
  5. Step 5: Solve for x
    x = 2,617,742,105.02/23,438.25
  6. Step 6: Final answer
    x = 111,686.76

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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.