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Finding the Third Proportional to 26,138.25 and 39,450.75

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Solution

The third proportional to 26,138.25 and 39,450.75 is: 59,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138.25 : 39,450.75 = 39,450.75 : x
  2. Step 2: Convert to fraction form
    26,138.25/39,450.75 = 39,450.75/x
  3. Step 3: Cross multiply
    26,138.25x = 39,450.75 × 39,450.75
  4. Step 4: Simplify right side
    26,138.25x = 1,556,361,675.56
  5. Step 5: Solve for x
    x = 1,556,361,675.56/26,138.25
  6. Step 6: Final answer
    x = 59,543.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.