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Finding the Third Proportional to 4,735.13 and 10,033.88

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Solution

The third proportional to 4,735.13 and 10,033.88 is: 21,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.13 : 10,033.88 = 10,033.88 : x
  2. Step 2: Convert to fraction form
    4,735.13/10,033.88 = 10,033.88/x
  3. Step 3: Cross multiply
    4,735.13x = 10,033.88 × 10,033.88
  4. Step 4: Simplify right side
    4,735.13x = 100,678,647.52
  5. Step 5: Solve for x
    x = 100,678,647.52/4,735.13
  6. Step 6: Final answer
    x = 21,262.09

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.