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Finding the Third Proportional to 20,694.25 and 31,708.50

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Solution

The third proportional to 20,694.25 and 31,708.50 is: 48,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.25 : 31,708.50 = 31,708.50 : x
  2. Step 2: Convert to fraction form
    20,694.25/31,708.50 = 31,708.50/x
  3. Step 3: Cross multiply
    20,694.25x = 31,708.50 × 31,708.50
  4. Step 4: Simplify right side
    20,694.25x = 1,005,428,972.25
  5. Step 5: Solve for x
    x = 1,005,428,972.25/20,694.25
  6. Step 6: Final answer
    x = 48,584.94

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.