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Finding the Third Proportional to 26,906.50 and 40,455.75

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Solution

The third proportional to 26,906.50 and 40,455.75 is: 60,827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,906.50 : 40,455.75 = 40,455.75 : x
  2. Step 2: Convert to fraction form
    26,906.50/40,455.75 = 40,455.75/x
  3. Step 3: Cross multiply
    26,906.50x = 40,455.75 × 40,455.75
  4. Step 4: Simplify right side
    26,906.50x = 1,636,667,708.06
  5. Step 5: Solve for x
    x = 1,636,667,708.06/26,906.50
  6. Step 6: Final answer
    x = 60,827.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.