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Finding the Third Proportional to 8,080.50 and 12,504.75

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Solution

The third proportional to 8,080.50 and 12,504.75 is: 19,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,080.50 : 12,504.75 = 12,504.75 : x
  2. Step 2: Convert to fraction form
    8,080.50/12,504.75 = 12,504.75/x
  3. Step 3: Cross multiply
    8,080.50x = 12,504.75 × 12,504.75
  4. Step 4: Simplify right side
    8,080.50x = 156,368,772.56
  5. Step 5: Solve for x
    x = 156,368,772.56/8,080.50
  6. Step 6: Final answer
    x = 19,351.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.