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Finding the Third Proportional to 23,458.50 and 52,163.25

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Solution

The third proportional to 23,458.50 and 52,163.25 is: 115,992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,458.50 : 52,163.25 = 52,163.25 : x
  2. Step 2: Convert to fraction form
    23,458.50/52,163.25 = 52,163.25/x
  3. Step 3: Cross multiply
    23,458.50x = 52,163.25 × 52,163.25
  4. Step 4: Simplify right side
    23,458.50x = 2,721,004,650.56
  5. Step 5: Solve for x
    x = 2,721,004,650.56/23,458.50
  6. Step 6: Final answer
    x = 115,992.27

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1.5x scale

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.