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Finding the Third Proportional to 3,607.03 and 7,769.67

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Solution

The third proportional to 3,607.03 and 7,769.67 is: 16,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.03 : 7,769.67 = 7,769.67 : x
  2. Step 2: Convert to fraction form
    3,607.03/7,769.67 = 7,769.67/x
  3. Step 3: Cross multiply
    3,607.03x = 7,769.67 × 7,769.67
  4. Step 4: Simplify right side
    3,607.03x = 60,367,801.05
  5. Step 5: Solve for x
    x = 60,367,801.05/3,607.03
  6. Step 6: Final answer
    x = 16,736.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.