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Finding the Third Proportional to 6,819.75 and 10,426.50

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Solution

The third proportional to 6,819.75 and 10,426.50 is: 15,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.75 : 10,426.50 = 10,426.50 : x
  2. Step 2: Convert to fraction form
    6,819.75/10,426.50 = 10,426.50/x
  3. Step 3: Cross multiply
    6,819.75x = 10,426.50 × 10,426.50
  4. Step 4: Simplify right side
    6,819.75x = 108,711,902.25
  5. Step 5: Solve for x
    x = 108,711,902.25/6,819.75
  6. Step 6: Final answer
    x = 15,940.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.