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Finding the Third Proportional to 7,843.50 and 16,748.44

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Solution

The third proportional to 7,843.50 and 16,748.44 is: 35,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.50 : 16,748.44 = 16,748.44 : x
  2. Step 2: Convert to fraction form
    7,843.50/16,748.44 = 16,748.44/x
  3. Step 3: Cross multiply
    7,843.50x = 16,748.44 × 16,748.44
  4. Step 4: Simplify right side
    7,843.50x = 280,510,158.69
  5. Step 5: Solve for x
    x = 280,510,158.69/7,843.50
  6. Step 6: Final answer
    x = 35,763.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.