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Finding the Third Proportional to 17,911.13 and 38,464.03

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Solution

The third proportional to 17,911.13 and 38,464.03 is: 82,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,911.13 : 38,464.03 = 38,464.03 : x
  2. Step 2: Convert to fraction form
    17,911.13/38,464.03 = 38,464.03/x
  3. Step 3: Cross multiply
    17,911.13x = 38,464.03 × 38,464.03
  4. Step 4: Simplify right side
    17,911.13x = 1,479,481,700.00
  5. Step 5: Solve for x
    x = 1,479,481,700.00/17,911.13
  6. Step 6: Final answer
    x = 82,601.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.