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Finding the Third Proportional to 20,067.50 and 31,802.25

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Solution

The third proportional to 20,067.50 and 31,802.25 is: 50,399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.50 : 31,802.25 = 31,802.25 : x
  2. Step 2: Convert to fraction form
    20,067.50/31,802.25 = 31,802.25/x
  3. Step 3: Cross multiply
    20,067.50x = 31,802.25 × 31,802.25
  4. Step 4: Simplify right side
    20,067.50x = 1,011,383,105.06
  5. Step 5: Solve for x
    x = 1,011,383,105.06/20,067.50
  6. Step 6: Final answer
    x = 50,399.06

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.