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Finding the Third Proportional to 8,040.50 and 12,789.50

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Solution

The third proportional to 8,040.50 and 12,789.50 is: 20,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,040.50 : 12,789.50 = 12,789.50 : x
  2. Step 2: Convert to fraction form
    8,040.50/12,789.50 = 12,789.50/x
  3. Step 3: Cross multiply
    8,040.50x = 12,789.50 × 12,789.50
  4. Step 4: Simplify right side
    8,040.50x = 163,571,310.25
  5. Step 5: Solve for x
    x = 163,571,310.25/8,040.50
  6. Step 6: Final answer
    x = 20,343.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.