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Finding the Third Proportional to 20,751.75 and 31,142.25

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Solution

The third proportional to 20,751.75 and 31,142.25 is: 46,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,751.75 : 31,142.25 = 31,142.25 : x
  2. Step 2: Convert to fraction form
    20,751.75/31,142.25 = 31,142.25/x
  3. Step 3: Cross multiply
    20,751.75x = 31,142.25 × 31,142.25
  4. Step 4: Simplify right side
    20,751.75x = 969,839,735.06
  5. Step 5: Solve for x
    x = 969,839,735.06/20,751.75
  6. Step 6: Final answer
    x = 46,735.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.