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Finding the Third Proportional to 19,093.50 and 41,952.38

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Solution

The third proportional to 19,093.50 and 41,952.38 is: 92,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,093.50 : 41,952.38 = 41,952.38 : x
  2. Step 2: Convert to fraction form
    19,093.50/41,952.38 = 41,952.38/x
  3. Step 3: Cross multiply
    19,093.50x = 41,952.38 × 41,952.38
  4. Step 4: Simplify right side
    19,093.50x = 1,760,001,768.14
  5. Step 5: Solve for x
    x = 1,760,001,768.14/19,093.50
  6. Step 6: Final answer
    x = 92,178.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.