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Finding the Third Proportional to 1,900.13 and 3,992.06

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Solution

The third proportional to 1,900.13 and 3,992.06 is: 8,387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.13 : 3,992.06 = 3,992.06 : x
  2. Step 2: Convert to fraction form
    1,900.13/3,992.06 = 3,992.06/x
  3. Step 3: Cross multiply
    1,900.13x = 3,992.06 × 3,992.06
  4. Step 4: Simplify right side
    1,900.13x = 15,936,563.00
  5. Step 5: Solve for x
    x = 15,936,563.00/1,900.13
  6. Step 6: Final answer
    x = 8,387.11

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.