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Finding the Third Proportional to 13,304.75 and 20,012.88

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Solution

The third proportional to 13,304.75 and 20,012.88 is: 30,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,304.75 : 20,012.88 = 20,012.88 : x
  2. Step 2: Convert to fraction form
    13,304.75/20,012.88 = 20,012.88/x
  3. Step 3: Cross multiply
    13,304.75x = 20,012.88 × 20,012.88
  4. Step 4: Simplify right side
    13,304.75x = 400,515,165.77
  5. Step 5: Solve for x
    x = 400,515,165.77/13,304.75
  6. Step 6: Final answer
    x = 30,103.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.