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Finding the Third Proportional to 19,174.13 and 41,013.38

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Solution

The third proportional to 19,174.13 and 41,013.38 is: 87,727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,174.13 : 41,013.38 = 41,013.38 : x
  2. Step 2: Convert to fraction form
    19,174.13/41,013.38 = 41,013.38/x
  3. Step 3: Cross multiply
    19,174.13x = 41,013.38 × 41,013.38
  4. Step 4: Simplify right side
    19,174.13x = 1,682,096,928.89
  5. Step 5: Solve for x
    x = 1,682,096,928.89/19,174.13
  6. Step 6: Final answer
    x = 87,727.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.