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Finding the Third Proportional to 31,290.75 and 65,171.25

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Solution

The third proportional to 31,290.75 and 65,171.25 is: 135,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,290.75 : 65,171.25 = 65,171.25 : x
  2. Step 2: Convert to fraction form
    31,290.75/65,171.25 = 65,171.25/x
  3. Step 3: Cross multiply
    31,290.75x = 65,171.25 × 65,171.25
  4. Step 4: Simplify right side
    31,290.75x = 4,247,291,826.56
  5. Step 5: Solve for x
    x = 4,247,291,826.56/31,290.75
  6. Step 6: Final answer
    x = 135,736.34

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.