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Finding the Third Proportional to 39,899.25 and 84,408.75

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Solution

The third proportional to 39,899.25 and 84,408.75 is: 178,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,899.25 : 84,408.75 = 84,408.75 : x
  2. Step 2: Convert to fraction form
    39,899.25/84,408.75 = 84,408.75/x
  3. Step 3: Cross multiply
    39,899.25x = 84,408.75 × 84,408.75
  4. Step 4: Simplify right side
    39,899.25x = 7,124,837,076.56
  5. Step 5: Solve for x
    x = 7,124,837,076.56/39,899.25
  6. Step 6: Final answer
    x = 178,570.70

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.