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Finding the Third Proportional to 20,917.97 and 31,867.59

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Solution

The third proportional to 20,917.97 and 31,867.59 is: 48,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,917.97 : 31,867.59 = 31,867.59 : x
  2. Step 2: Convert to fraction form
    20,917.97/31,867.59 = 31,867.59/x
  3. Step 3: Cross multiply
    20,917.97x = 31,867.59 × 31,867.59
  4. Step 4: Simplify right side
    20,917.97x = 1,015,543,531.42
  5. Step 5: Solve for x
    x = 1,015,543,531.42/20,917.97
  6. Step 6: Final answer
    x = 48,548.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.