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Finding the Third Proportional to 4,788.94 and 7,189.88

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Solution

The third proportional to 4,788.94 and 7,189.88 is: 10,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.94 : 7,189.88 = 7,189.88 : x
  2. Step 2: Convert to fraction form
    4,788.94/7,189.88 = 7,189.88/x
  3. Step 3: Cross multiply
    4,788.94x = 7,189.88 × 7,189.88
  4. Step 4: Simplify right side
    4,788.94x = 51,694,302.52
  5. Step 5: Solve for x
    x = 51,694,302.52/4,788.94
  6. Step 6: Final answer
    x = 10,794.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.