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Finding the Third Proportional to 23,206.50 and 58,745.25

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Solution

The third proportional to 23,206.50 and 58,745.25 is: 148,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.50 : 58,745.25 = 58,745.25 : x
  2. Step 2: Convert to fraction form
    23,206.50/58,745.25 = 58,745.25/x
  3. Step 3: Cross multiply
    23,206.50x = 58,745.25 × 58,745.25
  4. Step 4: Simplify right side
    23,206.50x = 3,451,004,397.56
  5. Step 5: Solve for x
    x = 3,451,004,397.56/23,206.50
  6. Step 6: Final answer
    x = 148,708.53

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.