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Finding the Third Proportional to 4,969.69 and 7,757.44

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Solution

The third proportional to 4,969.69 and 7,757.44 is: 12,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.69 : 7,757.44 = 7,757.44 : x
  2. Step 2: Convert to fraction form
    4,969.69/7,757.44 = 7,757.44/x
  3. Step 3: Cross multiply
    4,969.69x = 7,757.44 × 7,757.44
  4. Step 4: Simplify right side
    4,969.69x = 60,177,836.57
  5. Step 5: Solve for x
    x = 60,177,836.57/4,969.69
  6. Step 6: Final answer
    x = 12,108.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.