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Finding the Third Proportional to 20,396.81 and 31,198.92

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Solution

The third proportional to 20,396.81 and 31,198.92 is: 47,721.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,396.81 : 31,198.92 = 31,198.92 : x
  2. Step 2: Convert to fraction form
    20,396.81/31,198.92 = 31,198.92/x
  3. Step 3: Cross multiply
    20,396.81x = 31,198.92 × 31,198.92
  4. Step 4: Simplify right side
    20,396.81x = 973,372,726.16
  5. Step 5: Solve for x
    x = 973,372,726.16/20,396.81
  6. Step 6: Final answer
    x = 47,721.81

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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.