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Finding the Third Proportional to 8,304.94 and 11,188.31

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Solution

The third proportional to 8,304.94 and 11,188.31 is: 15,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.94 : 11,188.31 = 11,188.31 : x
  2. Step 2: Convert to fraction form
    8,304.94/11,188.31 = 11,188.31/x
  3. Step 3: Cross multiply
    8,304.94x = 11,188.31 × 11,188.31
  4. Step 4: Simplify right side
    8,304.94x = 125,178,336.60
  5. Step 5: Solve for x
    x = 125,178,336.60/8,304.94
  6. Step 6: Final answer
    x = 15,072.76

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.