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Finding the Third Proportional to 26,611.50 and 58,245

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Solution

The third proportional to 26,611.50 and 58,245 is: 127,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,611.50 : 58,245 = 58,245 : x
  2. Step 2: Convert to fraction form
    26,611.50/58,245 = 58,245/x
  3. Step 3: Cross multiply
    26,611.50x = 58,245 × 58,245
  4. Step 4: Simplify right side
    26,611.50x = 3,392,480,025
  5. Step 5: Solve for x
    x = 3,392,480,025/26,611.50
  6. Step 6: Final answer
    x = 127,481.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.