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Finding the Third Proportional to 19,237.50 and 41,964.75

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Solution

The third proportional to 19,237.50 and 41,964.75 is: 91,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,237.50 : 41,964.75 = 41,964.75 : x
  2. Step 2: Convert to fraction form
    19,237.50/41,964.75 = 41,964.75/x
  3. Step 3: Cross multiply
    19,237.50x = 41,964.75 × 41,964.75
  4. Step 4: Simplify right side
    19,237.50x = 1,761,040,242.56
  5. Step 5: Solve for x
    x = 1,761,040,242.56/19,237.50
  6. Step 6: Final answer
    x = 91,542.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.