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Finding the Third Proportional to 26,507.25 and 39,273.75

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Solution

The third proportional to 26,507.25 and 39,273.75 is: 58,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,507.25 : 39,273.75 = 39,273.75 : x
  2. Step 2: Convert to fraction form
    26,507.25/39,273.75 = 39,273.75/x
  3. Step 3: Cross multiply
    26,507.25x = 39,273.75 × 39,273.75
  4. Step 4: Simplify right side
    26,507.25x = 1,542,427,439.06
  5. Step 5: Solve for x
    x = 1,542,427,439.06/26,507.25
  6. Step 6: Final answer
    x = 58,188.89

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.