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Finding the Third Proportional to 3,829.50 and 4,984.88

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Solution

The third proportional to 3,829.50 and 4,984.88 is: 6,488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.50 : 4,984.88 = 4,984.88 : x
  2. Step 2: Convert to fraction form
    3,829.50/4,984.88 = 4,984.88/x
  3. Step 3: Cross multiply
    3,829.50x = 4,984.88 × 4,984.88
  4. Step 4: Simplify right side
    3,829.50x = 24,848,978.77
  5. Step 5: Solve for x
    x = 24,848,978.77/3,829.50
  6. Step 6: Final answer
    x = 6,488.83

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.