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Finding the Third Proportional to 26,149.50 and 40,007.25

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Solution

The third proportional to 26,149.50 and 40,007.25 is: 61,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,149.50 : 40,007.25 = 40,007.25 : x
  2. Step 2: Convert to fraction form
    26,149.50/40,007.25 = 40,007.25/x
  3. Step 3: Cross multiply
    26,149.50x = 40,007.25 × 40,007.25
  4. Step 4: Simplify right side
    26,149.50x = 1,600,580,052.56
  5. Step 5: Solve for x
    x = 1,600,580,052.56/26,149.50
  6. Step 6: Final answer
    x = 61,208.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.