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Finding the Third Proportional to 20,323.97 and 31,278.38

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Solution

The third proportional to 20,323.97 and 31,278.38 is: 48,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,323.97 : 31,278.38 = 31,278.38 : x
  2. Step 2: Convert to fraction form
    20,323.97/31,278.38 = 31,278.38/x
  3. Step 3: Cross multiply
    20,323.97x = 31,278.38 × 31,278.38
  4. Step 4: Simplify right side
    20,323.97x = 978,336,742.64
  5. Step 5: Solve for x
    x = 978,336,742.64/20,323.97
  6. Step 6: Final answer
    x = 48,137.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.