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Finding the Third Proportional to 14,796.25 and 31,847.75

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Solution

The third proportional to 14,796.25 and 31,847.75 is: 68,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.25 : 31,847.75 = 31,847.75 : x
  2. Step 2: Convert to fraction form
    14,796.25/31,847.75 = 31,847.75/x
  3. Step 3: Cross multiply
    14,796.25x = 31,847.75 × 31,847.75
  4. Step 4: Simplify right side
    14,796.25x = 1,014,279,180.06
  5. Step 5: Solve for x
    x = 1,014,279,180.06/14,796.25
  6. Step 6: Final answer
    x = 68,549.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.