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Finding the Third Proportional to 4,735.97 and 7,028.02

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Solution

The third proportional to 4,735.97 and 7,028.02 is: 10,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.97 : 7,028.02 = 7,028.02 : x
  2. Step 2: Convert to fraction form
    4,735.97/7,028.02 = 7,028.02/x
  3. Step 3: Cross multiply
    4,735.97x = 7,028.02 × 7,028.02
  4. Step 4: Simplify right side
    4,735.97x = 49,393,003.63
  5. Step 5: Solve for x
    x = 49,393,003.63/4,735.97
  6. Step 6: Final answer
    x = 10,429.33

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.